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

The velocity-time graph of particle in one dimensional motion is shown in the fig.

Which if the following formulae are correct for describing the motion of the pawrticle over the time interval `t_1 to t_2`
`v(t_2) = v(t_1) + a(t_2 - t_2)`, `v_(average) = ([x(t_2) - x(t_1)])/((t_2 - t_1))`, ` x(t_2) - x(t_1) `= area under the v - t curve. bounded by the t-axis and the dotted line shown.

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For any arbitrary motion in space, which of the following relations are true :- v_average=(1/2) (v(t_1))+(v(t_2)) (The ‘average’ stands for average of the quantity over the time interval t_1 to t_2 )

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For any arbitrary motion in space, which of the following relations are true :- r(t)=r (O)+v(O) t+(1/2) a t^2 (The ‘average’ stands for average of the quantity over the time interval t_1 to t_2 )