Let b be the height of the building, and y the height of the ball at time t, given by
y = b - 1/2 gt²
where g = 9.8 m/s² is the magnitude of the acceleration due to gravity.
It takes the ball 8 s to reach the ground, at which point y = 0, so that
0 = b - 1/2 (9.8 m/s²) (8 s)²
b = 1/2 (9.8 m/s²) (8 s)²
b = 313.6 m
Cool down math
Which line has a slope of 1?
The line that goes up by 1 and right/left by 1. Hope this helps
Which change in the medium will likely cause the speed of light waves to decrease?
moving from a solid to a gas
moving from a liquid to a gas
moving from a gas to a liquid
moving from a solid to a liquid
Answer:
D
Explanation:
Joseph drove for 3 hours at the speed of 40 km/h (kilometers per hour) . He changed his speed to 65 km/h for the next 2 hours. How far had Joseph driven in km?
Answer:
Two hundred fifty kilometer 250 km
Which of the following correctly lists the energy conversions that happen when you plug a fan into an electrical outlet and turn it on?
A: chemical, nuclear, potential
B: sound,thermal, kinetic
C:sound,nuclear,electrical
D:chemical,sound,fission
A ball is thrown horizontally from a height of 1 m and lands 5 m away. What is the time of flight of the ball?
Answer:
The time of flight of the ball is approximately 0.4515 s
Explanation:
The given information are;
The vertical height, s = 1 m
The horizontal distance travelled, x = 5 m
The direction of the initial velocity = Horizontal
Given that the vertical height is known and the ball is in free fall, the time of flight, t, will depend on the vertical motion of the ball
The equation of motion of the ball can be presented as follows;
s = u·t + 1/2·g·t²
The initial vertical velocity = 0
∴ 1 = 1/2 × 9.81 × t²
t² = 1/(1/2 × 9.81 ) ≈ 0.20387 s²
t = √0.20387 = 0.4515 s
The time of flight of the ball ≈ 0.4515 s.
7. The position equation, x = x0 + v0t + 1/2at^2, has three terms. Write down the physical significance for each of the three.
Answer:
X0 is the initial position of the object
V0 t is the displacement of the object in time t due to its initial velocity
1/2 a t^2 is the displacement of the object in time t due to its acceleration
Adding the 3 terms (being careful with signs) gives the final position of the object at time t
A package is dropped from a helicopter that is moving upward at 20.0 m/s.
If it takes 18.0s before the package strikes the ground, how high above the ground was the package when it was released?
Explanation:
We have for velocity of package v= 20 - 9.8t and for distance from the ground y = h + 20t - 4.9t2.We have y = 0 and t = 18.0 s we have h = 4.9·182 - 20·18 = 1227.6 m.Velocity at landing v = 20 - 9.8·18 = - 156.4 m/sA cannonball is launched at ground level at an angle of 30° above the horizontal with
an initial velocity of 26 m/s. How far does the cannonball travel horizontally before it
reaches the ground?
Vi =26m/s g = 9.8m/s^2 vf=0
30°
The cannonball travels horizontally before it reaches the ground at an angle of 30° above the horizontal with an initial velocity of 26 m/s is 59.73 meters.
What is velocity?
When anything is moving, its velocity tells us how quickly that something's location is changing from a certain vantage point and as measured by a particular unit of time.
If a point travels a specific distance along its path in a predetermined amount of time, its average speed throughout that time is equal to the traveled distance divided by the travel time. For instance, a train traveling 100 km in two hours is moving at an average speed of 50 km/h.
Given:
The initial velocity of a cannonball, u = 26 m/s,
Calculate the range of the cannonball by following the formula,
R = [tex]u^2[/tex]sin2θ / g
Here R is the range, and θ is the angle of projection.
Substitute the values,
R = [tex]26^2[/tex] sin2*30 / 9.8
R = 59.73 meters
Therefore, the cannonball travels horizontally before it reaches the ground at an angle of 30° above the horizontal with an initial velocity of 26 m/s is 59.73 meters.
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I need help with all these. Number them pleaseee
With the arrangement of colors of ROYGBIV, what is its arrangement based on its energy?
Answer:
red,orange,yellow,green,blue,indigo,violet
Explanation:
Answer:
Longest to shortest wavelength or Highest to lowest frequency
At a circus, a human cannonball is shot from a cannon at 15m/s at an angle of 40° above horizontal. She
leaves the cannon 2m off the ground and lands in a net 1m off the ground. What height does she reach?
How much ground distance does she cover?
Answer:
a
The height is [tex]H = 6.74 \ m [/tex]
b
The horizontal distance is [tex]D = 23.74 \ m [/tex]
Explanation:
From the question we are told that
The speed is [tex]v = 15 \ m/s[/tex]
The angle is [tex]\theta = 40^o[/tex]
The height of the cannon from the ground is h = 2 m
The distance of the net from the ground is k = 1 m
Generally the maximum height she reaches is mathematically represented as
[tex]H = \frac{v^2 sin^2 \theta }{2 * g } + h[/tex]
=> [tex]H = \frac{(15)^2 [sin (40)]^2 }{2 * 9.8} + 2[/tex]
=> [tex]H = 6.74 \ m [/tex]
Generally from kinematic equation
[tex]s = ut + \frac{1}{2} at^2[/tex]
Here s is the displacement which is mathematically represented as
s = [-(h-k)]
=> s = -(2-1)
=> s = -1 m
There reason why s = -1 m is because upward motion canceled the downward motion remaining only the distance of the net from the ground which was covered during the first half but not covered during the second half
a = -g = -9.8
[tex]u = v sin (\theta)[/tex]
So
[tex]-1 = (vsin 40 )t + \frac{1}{2} * (-9.8) t^2[/tex]
=> [tex]-4.9t^2 + 9.6418t + 1 = 0[/tex]
using quadratic formula to solve the equation we have
[tex]t = 2.07 \ s[/tex]
Generally distance covered along the horizontal is
[tex]D = v cos (40) * 2.07[/tex]
=> [tex]D = 15 cos (40) * 2.07[/tex]
=> [tex]D = 23.74 \ m [/tex]
In a electrically natural atom of any element there are equal numbers of
Answer: Atoms are electrically neutral because they have equal numbers of protons (positively charged) and electrons (negatively charged). If an atom gains or loses one or more electrons, it becomes an ion.
3. What is the acceleration of a 10 kg mass pushed by a 5 N force?
Answer:
F=ma
Plug it in:
5=10a
5/10=(10a)/10
.5m/s²=a
Explanation:
Brainliest?
Answer:
[tex]\frac{1}{2} \frac{m}{s^2}[/tex]
Explanation:
Recall the equation F = ma. We want to find a, and we already know F and m, so we can plug those in. [tex]5N = 10kg \cdot a -> a = 5N/10kg = \frac{1}{2} \frac{m}{s^2}[/tex]
The potential energy for a mass on a spring is proportional to the square of which of these quantities?
OA.mass
OB.frequency
OC.period
OD.displacement
O E. velocity
1. What are three examples of forces?
Answer: Gravitational force.
Electric force.
Magnetic force.
Nuclear force.
Frictional force.
Explanation: I learned when I had science class.
A ball with a mass of 0.5 kg is hit with a force of 2.5 N what is its acceleration?
Explanation:
50 m/s may squared siya sa dun sa may s
What phase of the moon would this be?
1st quarter, waxing half moon
3rd quarter, waning half moon
waxing gibbous
waning gibbous
Answer:
First Quarter
Explanation:
Describe a ways car manufacturers try to reduce drag and why.
Aerodynamics is a way to reduce drag that uses car manufacturers.
What is aerodynamic ?
Aerodynamics is the motion of the air. airplane flies cause of aerodynamics.
Aerodynamics is the study of forces that are resulted by motion of the air.
To reduce the aerodynamic drag further, the manufacturers use character lines on the exteriors of the car's body right from its concept stage. These lines help the air to pass smoothly over the body and thus, reducing the air resistance.
cars have flat vertical face in front. When it moves through air, drag force directly proportional to the velocity applies on the car which opposes motion of the car. after studding aerodynamics when we make triangular like shape to the front body of the car, it cuts the air and front air goes from side of the car which reduces oppose to the motion, and car can have more speed.
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When momentum is transferred from one object to another, their combined momentum remains the same. * True or False
Answer:
true
Explanation:
hope this helps
A car moves a distance of 2400 meters in 55 seconds What is the speed of
the car?
[tex]v = \frac{covered \: distance}{time \: of \: the \: covered \: distance} \\ [/tex]
[tex]v = \frac{2400}{55} \\ [/tex]
[tex]v = \frac{24 \times 100}{5 \times 11} = \frac{24 \times 20}{11} = \frac{480}{11} \\ [/tex]
[tex]v = 43.63 \: \: \frac{m}{s} [/tex]
_________________________________
And we're done...
♥️♥️♥️♥️♥️
Answer:
The average speed is about 44 m/s
Step by Step:
[tex]S= \frac{distance}{time}\\ d= 2400m\\t = 55 seconds\\\\\frac{2400m}{55 seconds}\\\\= approximately\\ 44 m/s[/tex]
I hope you found this helpful
If your awesome, click here and be the first, to be the brainest
Answer:
im awesomeee
Explanation:
.
Answer:
Doubt I'll be first but imma try
Explanation:
What force is needed to accelerate a 75 kg boy 3 m/s squared on a bike?
Answer:
The answer is 225 NExplanation:
The force acting on an object given it's mass and acceleration can be found by using the formula
force = mass × accelerationFrom the question we have
force = 75 × 3
We have the final answer as
225 NHope this helps you
A crowbar makes our work easier by multiplying effort true or false
Answer:
True
Explanation:
A crowbar makes our work easier by multiply effort because it belongs to first class lever.
And first class lever makes work easier by multiplying the effort
What do the words "distance", "force", and "work" have to do with each other?
Answer: the force applied to the object and the distance the object move Work can be calculated with this equation: Work equals Force x Distance.
Explanation:
An object carrying a force of 15N has a mass of 3kg. What is the
acceleration of this object?
Answer:
the acceleration would be 5kg
Explanation:because you would do 15 divided by 5
You want to figure out which brand of microwave popcorn pops the most kernels so you can get the most value for your money. You test different brands of popcorn to see which bag pops the most popcorn kernels. What is the dependent variable?
A. Number of kernels popped
B. The brand of microwave
C. The brand of popcorn
D. The type of popcorn
Answer:
A
Explanation:
I think the number of kernels popped is depended on the brand of the microwave or it can be the brand of popcorn but the independent variable is the cause and the dependent variable is the effect
The dependent variable is the Number of kernels popped option (A) Number of kernels popped is correct.
What is dependent variable?In mathematical modeling, statistical modeling, and experimental sciences, there are dependent and independent variables.
Dependent variables get their name because, during an experiment, their values are investigated under the presumption or requirement that they are dependent on the values of other variables according to some law or rule.
The brand of microwave or popcorn brand may affect how many kernels pop, but the independent variable is the cause and the dependent variable is the outcome.
Thus, the dependent variable is the Number of kernels popped option (A) Number of kernels popped is correct.
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3. Tyrone wants to determine how fast a bowling ball travels when it is bowled. He uses a stopwatch to
record, in seconds, the time it takes for the bowling ball to reach the pins. Which unit would be most
appropriate to measure the length of the bowling lane?
A. meters
B. kilometers
C. millimeters
D. centimeters
true or false
Impulse is defined as the force exerted on an object times the time it lasts.
Answer: true
Explanation: when two objects collide and completely bounce apart with no lasting deformation or generation of heat, the collision is said to be elastic.
have a good day!! please mark me brainliest
Energy that Is transferred from a warmer object to a cooler object is called what?
Answer:
The movement of heat from a warmer object to a cooler one is called heat transfer.
3.The melting point of lead is 327.5 °C. Which of the following statements is correct? (1 Point) A)Lead is a gas at 280 °C B)Lead is a solid at 310 °C C)Lead is a liquid at 300 °C D)Lead is a solid at 390 °C
Answer:
B)Lead is a solid at 310 °C
Explanation:
The melting point of a substance refers to that temperature in which the substance changes state from solid to liquid. The melting point of a substance, which is usually a temperature value, is that actual temperature the change of state occurs.
According to this question, the melting point of Lead (Pb), which is naturally a solid metal, is 327.5°C. This means that LEAD (Pb) will only change to its liquid state at exactly 327.5°C and above. Therefore, at a temperature of 310°C, which is lower than lead's melting point, Lead element will still be a solid.
Answer: The correct answer is B. Lead is a solid at 310
Explanation: