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=u−at⟹u=v+at s = ut − 12at2 v2 = u2 − 2as⟹u2=v2+2as

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