A bomber is diving towards it's target at an angle of 45 degrees below the horizontal and at a speed of 320 m/s. When the bomber is 600m above the ground, it releases its load, which then hits the target. How long will it take the bomb to reach the target?

Answers

Answer 1

Answer:

The time it will take the bomb to reach the target is approximately 2.402 seconds

Explanation:

The given information are;

The direction the bomber is travelling = 45° below the horizontal

The speed at which the bomber was travelling = 320 m/s

The elevation at which the bomber releases its load = 600 m

Therefore, we have;

The height at which the bomb is released, s = 600 m

The inclination of the direction of motion of the bomb = 45° below the horizontal

The magnitude of the velocity of the bomb at release = 320 m/s

The vertical component of the velocity = 320 m/s × sin(45°) = 160·√2 m/s

Therefore, the initial vertical velocity, [tex]u_v[/tex], of the bomb = 160·√2 m/s downwards

From the equation of motion, we have;

s = [tex]u_v[/tex] × t + 1/2 × g × t²

Where;

t = The time it takes the bomb to hit the target

g = The acceleration due to gravity = 9.81 m/s²

∴ 600 = 160·√2 × t + 9.81 × t²

9.81 × t² + 160·√2 × t - 600 = 0

By the quadratic formula, we have;

[tex]x = \dfrac{-b\pm \sqrt{b^{2}-4\cdot a\cdot c}}{2\cdot a}[/tex]

[tex]t = \dfrac{-160 \times \sqrt{2} \pm \sqrt{(160 \times \sqrt{2} )^{2}-4\times 9.81\times (-600)}}{2\times 9.81}[/tex]

t ≈ -25.467 seconds or t ≈ 2.402 seconds

Given that t is a natural number, we have the correct option is t ≈ 2.402 seconds

Therefore, the time it will take the bomb to reach the target ≈ 2.402 seconds.


Related Questions

2. A pitcher threw a baseball straight up at 39 meters per second. What
was the ball's velocity after 2.50 seconds?

Answers

97.5 is the velocity

Select the correct answer. What are the units for the spring constant, k?
A. newton meters
B. newton seconds
C. newtons/meter
D. newtons/second
E. newtons/seconds​

Answers

Answer:

The spring constant,k is measured in newtons per meter

Answer:

C. NEWTON / METRE is the correct answer .

Thank your ☺️☺️

A change in position of an object relating to time

Answers

The answer is: Motion!

Have a great day

Answer:

Speed describes how far an object moves in a given amount of time (for example, miles per hour).

Explanation:

I need help answering these questions . Please help.

Answers

Answer:

Name: Scale

Used for measure: Categorize and/or Quantify Variables

Measurement scales are used to categorize and/or quantify variables. This lesson describes the four scales of measurement that are commonly used in statistical analysis: nominal, ordinal, interval, and ratio scales.

Hope I helped let me know if I didn't

Can I get an Brainlist

When the Northern hemisphere is tilted towards the sun, it is ___ in the northern hemisphere and ___ in the southern hemisphere

Answers

Summer in the northern

Winter in the southern

How are extrusive rocks formed?

A. Magma gets trapped inside Earth and cools to rock.
B. Volcanoes apply force to solid rocks and eject them
C. Magma gets forced to Earth’s surface and cools to rock.
D. Volcanoes trap lava inside Earth, where it cools to rock.

Answers

Answer:

A

Explanation:

Answer: C

Explanation: Because if magma wasn't to be forced on earth's surface, the magma would come on earth and burn earth down.

Water is a powerful solvent because it is a polar molecule true or false

Answers

Answer:

True

Explanation:

o be useful in science, a hypothesis must be *
A. measurable
B. observable
C. testable
D. correct

Answers

Answer:

the answer is c testable

answer: C the hypothesis must be testable

An object has a fixed volume and a variable shape before it changes state.
After the change, it can change in both shape and volume. Which change of
state has occurred? (APEX)
A. Gas to liquid
B. Solid to liquid
C. Liquid to gas
D. Gas to plasma

Answers

Answer:

A

Explanation:

The answer is C because the liquid has to turn into gas which the liquid has volume and a variable shape. Gas does not have volume or shape.

An object has a fixed volume and a variable shape before it changes state. After the change, it can change in both shape and volume then the change of state occurred was liquid to gas

What is the matter?

Anything which has mass and occupies spaces is known as matter ,mainly there are four states of matter solid liquid gases, and plasma.

These different states of matter have different characteristics according to which they vary their volume and shape.

Liquid has a fixed volume but it can change its shape to any form but gases can change their volume as well as shape, therefore the correct answer is C.

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Li and Raj are playing football. They take turns trying to run past each other with the football. Li weighs 125 pound and Raj weighs 175 pounds. Li discovers that if he changes direction quickly when running, he can always dodge out of the way before Raj can tackle him.

Why is Li able to avoid Raj’s tackle? Choose the best description.

Answers

Answer:

Li has less mass and therefore less inertia, so he can change his motion more easily than Raj.

Explanation:

Answer:

Li has less mass and therefore less inertia, so he can change his motion more easily than Raj.

Explanation:

Which question asks for an opinion?
A. Can people who visit Mars use the resources there to fuel a return
trip to Earth?
B. How much more radiation reaches Mars's surface than reaches
Earth's surface?
C. Is it a good idea to try to establish human colonies on Mars?
D. Is it possible to establish a human colony on Mars?

Answers

Answer:

C

Explanation:

It says is it a good idea the person so 1 person can say no and the other one can say yes so it is asks for a opinion

A question that asks for an opinion is as follows:

Is it a good idea to try to establish human colonies on Mars?

Thus, the correct option for this question is C.

What is Opinion?

An opinion may be defined as a type of viewpoint, judgment, or statement that is not conclusive, rather than facts, which are true statements. It may vary from person to person, topic to topic, and condition to condition.

The opinion of any individual belongs or relates to one particular person rather than to other people. For example, in this given scenario, some reply to the question with a yes answer. In a manner, it is definitely a good idea to try to establish human colonies on Mars. While some categorized themselves on no side.

Therefore,  the correct option for this question is C.

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An arrow is shot at 27.0° above the horizontal. Its velocity is 54 m/s, and it hits the target.

Answers

Explanation:

(a) What is the maximum height the arrow will attain?

Given:

v₀ᵧ = 54 sin 27.0° m/s = 24.5 m/s

vᵧ = 0 m/s

aᵧ = -9.8 m/s²

Find: Δy

vᵧ² = v₀ᵧ² + 2aᵧΔy

(0 m/s)² = (24.5 m/s)² + 2 (-9.8 m/s²) Δy

Δy = 30.7 m

(b) The target is at the height from which the arrow was shot. How far away is it?

Given:

Δy = 0 m

v₀ᵧ = 54 sin 27.0° m/s = 24.5 m/s

aᵧ = -9.8 m/s²

Find: t

Δy = v₀ᵧ t + ½ aᵧt²

0 m = (24.5 m/s) t + ½ (-9.8 m/s²) t²

t = 5.00 s

Given:

v₀ₓ = 54 cos 27.0° m/s = 48.1 m/s

aₓ = 0 m/s²

t = 5.00 s

Find: Δx

Δx = v₀ₓ t + ½ aₓt²

Δx = (48.1 m/s) (5.00 s) + ½ (0 m/s²) (5.00 s)²

Δx = 241 m

If the force acting on a cart doubles, what happens to the carts acceleration?

Answers

Answer:

If the force on a cart doubles, the acceleration of the cart doubles.

Explanation:

For this problem, we need to consider the following equation:

Force = Mass x Acceleration

We can reasonably assume that the cart will have constant mass in the given force system.  With this assumption we can say the following relationship:

Force is directly proportional to Acceleration within the system.

Given that our force on the cart is doubled, then our acceleration of the cart must also be doubled.  You can mathematically express this as follows:

F = MA

2F = M * 2A

Hence, if force doubles, the acceleration doubles.

Cheers.

A car can complete a 800 m long lap in 10 s. What is the speed of the car

Answers

Answer:

80 mph

Explanation:

can you plzzzzz make me brainliest

Answer:

178.955mph or 179mph

Explanation:

✨calculator✨

Answer the following questions in the essay box below.Did the different sized suspended balloons balance?if they did not, which balloon tipped the scale down?Did your results validate the hypothesis above?Give an explanation for your results, including a discussion of how the data collected either validated, or disproved the hypothesis.

Answers

Answer:

what is it about

Explanation:

Answer:

Note: These answers are based off of sense and educational quessing, as I cannot do the experiment.

Question 1:

The balloons did not balance.

Question 2:

The bigger balloon tipped the scale down.

Question 3:

Yes, it validated that gas does has mass, as the bigger balloon weighed down the scale.

Question 4:

N/A

2. A sphere has a radius of 5.00 cm. with an uncertainty of 5%,

a) what is the percent uncertainty of the volume? _______%

b) What is the volume of sphere with absolute uncertainty? _____ +/ _____cm^3

Answers

Answer:

The percent uncertainty of the volume=[tex]\frac{15.70}{523.59} \times 100=2.99\%[/tex]

The volume of sphere with absolute uncertainty=[tex]523.59 \pm 15.7 cm^3[/tex]

Explanation:

Radius of sphere = 5 cm

Radius with uncertainty r'= [tex]5 \pm 0.05[/tex]

Volume of sphere = [tex]\frac{4}{3} \pi r^3=\frac{4}{3} \pi (r')^3[/tex]

[tex]V=\frac{4}{3} \pi (r')^3\\\frac{dV}{dr'}=4\pi (r')^2[/tex]

Where dV is the uncertainty in volume

dr' is the uncertainty in radius

[tex]dV=4\pi (r')^2 dr'\\dV=4 \pi (5)^2(0.05)\\dV=15.70\\V=\frac{4}{3} \pi (r')^3=\frac{4}{3} \pi (5)^3=523.59[/tex]

The percent uncertainty of the volume=[tex]\frac{15.70}{523.59} \times 100=2.99\%[/tex]

The volume of sphere with absolute uncertainty=[tex]523.59 \pm 15.7 cm^3[/tex]

sue is running down the street at a nice constant 4 m/s. She travels for 200 seconds. How far did she go?

Answers

Answer:

800 meters

Explanation:

4 x 200 is 800 meters.

Calculate the mass of a lorry that has a momentum of 4600 kg m/s and a velocity of 15m/s. Give your answer to two decimal places
PLZZZ HELP

Answers

Mass = momentum / velocity = 4600 / 15 = ..... Kg

A car moving at 30 m/s has 900 kj of kinetic energy. What is the car’s mass?

Answers

900,000 = 1/2mv^2
900,000 = 450m
Mass = 2,000kg

If a  car moving at 30 m / s has 900 kJ of kinetic energy, then the mass of the car would have been 2000 kilograms.

What is mechanical energy?

Mechanical energy is the combination of all the energy in motion represented by total kinetic energy and the total stored energy in the system which is represented by total potential energy.

As for the given problem, we have to find out the mass of the car if the car moving at 30 m/s has 900 kJ of kinetic energy.

Kinetic energy = 1 / 2 m v²

         900000 = 0.5 × m × 30²

                    m = 1000 / 0.5

                        = 2000 kilograms

Thus, If a  car moving at 30 m / s has 900 kJ of kinetic energy, then the mass of the car would have been 2000 kilograms.

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1. If a distance-time graph contains the point (4, 15), what does that tell you about the runner?

Answers

Answer:

The answer is that the runner ran 4,15

Explanation:

The runner ran for 4 seconds and in 4 seconds he ran 15 yards or meters or feet

A block is hung by two ropes angled at 30º and 60º respectively. What is the ratio of the tension in the second rope to the tension in the first rope?

Answers

The ratio between 30° and 60° is 1:2

.
What change in the velocity's horizontal
component (v) and the range occurs
with each unit of time while getting
through the water?

Answers

Answer:

h the books

Explanation:

HELP me do this question PLEASE REPLY to you kripa and subscribe to you and ask for help me do this question PLEASE let them hate me and subscribe to the world 3rd birthday to you and I am sorry to hear that you are 4th and subscribe to the world of the books 4th century and subscribe to the world of the world of ❤❤

How much net force is required make a 10 kg box accelerate at a rate of 5 m/s2?
O2N
0 50 N
0 15 N
0 100 N

Answers

F = (mass)(acceleration)

F = (10)(5)

F = 50

Answer: 50 N

Roxy is driving down East Capitol Street. She drives 1380 meters in 45 seconds. Assuming she does not speedup or slow down, what is her speed in meters per second? * Your answer​

Answers

Answer:

30.66667

Explanation:

should be the answer if the calculator is correct

Todd and Angela set up a ramp and released several cars from the top. If Todd and Angela want to determine the average speed of their cars down the ramp, what information do they need? Group of answer choices

Answers

Answer:

The ramps length, height, degree, and the weight of the car.

Explanation:

Answer:

I think they need the slope of the ram(degree) .

& current gravitational acceleration

& the length of the ram and also l don't think mass of the cars are not needed becoz the acceleration of the cars are given by its,

Gravitational acceleration * sin( slope).

So then use that in v^2=u^2+2as equation.

s for length

a for acceleration

v for end velocity

u for start velocity


What is the trademark of the Harlem Globetrotters?

Answers

Harlem globetrotters

A frog falls from its rainforest tree. If we ignore wind resistance, (a) how much time does it take the frog to fall a distance of 12.0 m? (b) how fast is the frog falling at this point?

Answers

Answer:

Explanation:

a) Using the equation of motion

S = ut + 1/2gt²

S is the distance of fall

g is the acceleration due to gravity

t is the time taken

Given S = 12.0m, g = 9.81m/s^2, un= 0m/s

12 = 0+1/2(9.81)t²

12 = 4.905t²²²

t² = 12/4.905

t² = 2.446

t = √2.446

t = 1.56secs

b) To determine how fast is the frog falling at this point, we need to calculate the speed of the frog. Using the equaton v = u+gt

v = 0+9.81(1.56)

v = 15.34m/s

Hence the frog is falling at the rate of 15.34m/s

Which is not a force?
O momentum
O friction
O pull
O weight​

Answers

Answer:

weight

Explanation:

the reason is because I am invteble

Weight because forces can use themselves

what is my real name

Answers

Answer:

Probably Trent or something like that

Answer:

Trent or tranthjhikjhjhuiivd

Brian made this table to organize his notes on changes of state.

A 2-column table with 4 rows. The first column titled change of state has entries melting, freezing, deposition, condensation. The second column labeled energy change has entries gain, lose, gain, lose.

Which change of state has the wrong energy change listed?

condensation
deposition
melting
freezing

Answers

Answer:

Deposition

Explanation:

I took the quiz

Deposition is accompanied by a loss in energy as the particles become less energetic hence the entry involving deposition is wrong.

What is phase change?

The term phase change simply means a change from one state of matter to another. Phase changes are often accompanied by a loss or gain in energy depending on what process occurred.

The phase change deposition is accompanied by a loss in energy as the particles become less energetic hence the entry involving deposition is wrong.

Learn more about Phase change:  https://brainly.com/question/12390797:

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