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Question

A particle is moving in a straight line with constant acceleration '$$a$$' and initial velocity $$v_0$$. Average velocity during first $$t$$ second is _____


A
v0+12at
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B
v0+at
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C
v0+at2
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D
v02
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Solution

The correct option is A $$v_0 + \dfrac{1}{2}$$at
Initial velocity $$= v_0$$
Acceleration $$= a$$
Time $$= t$$
Distance moved $$= v_0t + \dfrac{1}{2} at^2$$
Average velcoty $$= \dfrac{distance}{time}$$
$$= \dfrac{v_0t + \dfrac{1}{2} at^2}{t}$$
$$= v_0 + \dfrac{1}{2}at$$

Physics

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