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Question

An object has a velocity u at time t=0, it is undergoing retardation a and covers a distance s attaining a velocity v in time t. Which of the following equations of motion correctly describe the motion?


A

u=vat

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B

s=ut+12at2

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C

u2=2as+v2

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D

u=v+at

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Solution

The correct options are
C

u2=2as+v2


D

u=v+at


Equations of motion of a body accelerating uniformly are:

A is the acceleration of the body

1.v = u + At

2.s = ut + 12At2

3.v2 = u2 + 2As

Given, the deceleration of the body =a

So, the acceleration of the body is a

Substituting, A=a in equations 1, 2 and 3 we get:

v=uatu=v+at

s = ut 12at2

v2 = u2 2asu2=v2+2as


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