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For any arbitrary motion in space, which...

For any arbitrary motion in space, which of the following relations are true :- `v(t)=v(O)+a t`(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 )

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The velocity-time graph of a particle in one-dimensional motion is shown in Fig. 3.29 :-Which of the following formulae are correct for describing the motion of the particle over the time-interval t_1 to t_2 :- x(t_2)=x(t_1)+v(t_1)(t_2-t_1)+(1/2)a(t_2-t_1)^2

The velocity-time graph of a particle in one-dimensional motion is shown in Fig. 3.29 :- Which of the following formulae are correct for describing the motion of the particle over the time-interval:- v(t_2)=v(t_1) + a (t_2 - t_1)

The velocity-time graph of a particle in one-dimensional motion is shown in Fig. 3.29 :- Which of the following formulae are correct for describing the motion of the particle over the time-interval:- v_average=(x(t_2) - x(t_1))/(t_2 - t_1)

The velocity-time graph of a particle in one-dimensional motion is shown in Fig. 3.29 :- Which of the following formulae are correct for describing the motion of the particle over the time-interval:- x(t_2)=x(t_1)+v_average(t_2-t_1)+(1/2) a_average(t_2-t_1)^2

Give expression for the average value of the a.c. voltage V=V_0 sin omega t over the time interval t=0 and t=pi/omega .