Question

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

Answer 1

262.4 m/s

Step-by-step 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 =
`(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 = 262.4 m/s