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lawyer [7]
3 years ago
11

If we ignore air resistance, a falling body will fall 16t2 feet in t seconds. What is the average velocity between t

Physics
1 answer:
erik [133]3 years ago
7 0

Answer:

<em>262.4 m/s</em>

<em></em>

Explanation:

The complete question is

If we ignore air resistance, a falling body will fall 16t^2 feet in t seconds. What is the average velocity between t=8 and t=8.4? Round your answer to two decimal places if necessary.

The distance fallen s = 16t^2

The velocity v = \frac{ds}{dt} = 32t

If we substitute the values of t into the velocity v, we'll have

at t = 8 s,     V1 = 32 x 8 = 256 m/s

at t = 8.4 s,  V2 = 32 x 8.4 = 268.8 m/s

Average velocity = (V2 - V1)/2 = (268.8 + 256)/2 = <em>262.4 m/s</em>

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