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The velocity-time graph of a particle in...

The velocity-time graph of a particle in one-dimensional motion is shown in the figure. Which of the following formulae is correct for describing the motion of the particle over the time interval `t_1` to `t_2`?

A

`x(t_(2))=x(t_(1))+v(t_(1)) (t_(2)-t_(1))+(1/2)a(t_(2)-t_1)^(2)`

B

`v(t_(2))=v(t_(1))+a(t_(2)-t_(1))`

C

`v_("average")=(x(t_(2))+x(t_(1)))/(t_(2)-t_(1))`

D

`a_("average")=(v(t_(2))-v(t_(1)))/(t_(2)-t_(1))`

Text Solution

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The correct Answer is:
D
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