Answer:
Stefan's distance and displacement are 11 miles and 8.54 miles southeast.
Explanation:
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Stefan's distance and displacement are 11 miles and 8.54 miles southeast
The distance can be calculated directly by adding up the individual distance.
d = 8+3
d = 11 miles
To calculate the displacement of Stefan, we make use of the Pythagoras theorem.
From Pythagoras theorem,
Formula:
a² = b²+c²................ Equation 1
Where:
a = Stefan's resultant displacement
b = Stefan's displacement to the south
c = Stefan's displacement to the east.
From the question,
Given:
b = 8 miles
c = 3 miles.
Substitute these values into equation 1
a² = 8²+3²
a² = 64+9
a² = 73
a = √(73)
a = 8.54 mile southeast.
While the displacement is 8.54 miles southeast.
Hence, Stefan's distance and displacement are 11 miles and 8.54 miles southeast.
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