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Question

A ball is dropped from a height of 5 m. Find the velocity with which it hits the ground.


A

10 m/s

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B

100m/s

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C

5 m/s

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D

- 10 m/s

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Solution

The correct option is D

- 10 m/s


Since the ball is dropped

So the initial velocity u=0 m/s

a=10 m/s2 as in the negative y axis (remember the conventions)

s=5 m as the body is getting displaced in negative y-axis or downwards.

We need final velocity v

v=u+at .....(1)

s=ut+12at2 ......(2)

v2=u2+2as ..........(3)

We will need equation 3 "why” you ask

Because we know 3 of variables in equation 3 and need to find the fourth variable

v2=02+2(10)(5)

v2=100

So, v=±10 which to pick we know when the particle hits the ground the velocity is going to be in downward direction. So we choose v = 10 m/s.


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