Question

a stone is dropped down a deep well from rest. The well is 50 metres deep. How long will it take to reach the bottom of the well?
Given:- acceleration
$acc. = m \: s {}^{ - 2}$
​

Answer 1

Given:-

• Initial velocity of stone = 0m/s

• Depth of well = 50m

• Acceleration due to gravity = 10m/s²

To Find:-

• Time taken by stone to reach the bottom of well.

Solution :-

By using 2nd equation motions of bodies moving freely under gravity.

➦ s = ut+ 1/2at²

➭ 50m = 0× t +1/2×10 ×t²

➭ 50 = 1/2× 10× t²

➭ 50 = 5× t²

➭ 50/5= t²

➭ t² = 10

➭ t = √10

➭ t = 3.16s

∴ The time taken by stone to reach the bottom of the well is 3.16s