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Physics

A body starts from rest and acquires a velocity 10 m s -1 in 2 s. Find its acceleration.

Motion in One Dimension

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Answer

Given,

Initial velocity (u) = 0

Final velocity (v) = 10 m s -1

Time (t) = 2 s

As we know,

a=final vel. (v)initial vel. (u)time (t)\text {a} = \dfrac {\text {final vel. (v)} - \text {initial vel. (u)}}{\text {time (t)}}

Substituting the values in the formula above, we get,

Acceleration (a)=1002Acceleration (a)=10 ms12 sAcceleration (a)=5ms2\text {Acceleration (a)} = \dfrac {10 - 0}{2} \\[0.5em] \text {Acceleration (a)} = \dfrac {10\text{ ms}^{-1}}{2 \text{ s}} \\[0.5em] \text {Acceleration (a)} = 5 \text {ms}^{-2} \\[0.5em]

Hence, acceleration of the body is 5 m s -2.

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