Question

The speed of a body falling freely from rest in a vacuum varies directly with the length of the time it falls. If after 6 seconds, a body was falling 58.8 m/s, how fast was it falling 4 seconds later? (Round off your answer to the nearest meter per second.)

Answer 1

The body is falling at 98 m/s after 4 seconds later.

Explanation:

The magnitude of the speed of a body dropped from rest is:

`v = gt`

So, if the speed of a body dropped after 6 seconds is 58.8 m/s, after 4 seconds later is:

`v = gt = 9.81 m/s^(2)*(4s + 6s) = 98.1 m/s = 98 m/s`

Hence, the body is falling at 98 m/s after 4 seconds later.

I hope it helps you!