Question

Q. The vertical distance covered by a body falling freely under gravity is directly proportional to the square of the time for which it falls. If a body covers 300m in the first 10 seconds of its free fall, find the distance covered by the body in the next 10 seconds.​

Answer 1

15m

Explanation:

Here, u = 0 and g = 10

Total distance covered in two seconds -

S2 =| 0 * 2 + 1/2 (-10) 2^2 | = 20 m .

Total distance covered in one second -

S1 = | 0*1 + 1/2 ( -10) 1^2 | = 5 m .

=> Distance covered by body during an interval of time between first and second seconds of its motion = (S2 - S1 ) = 20–5 = 15m .