For any arbitrary motion in space, which of the following relations are true? a) v_("average") = (1//2)(v(t_(1) + v(t_(2)) b) v_("average") = [r(t_(2))-r(t_(1)]/(t_(2)-t_(1) v(t) = v(0) + at d) a_("average") = [v(t_(2))-v(t_(1))/[t_(2)-t_(1)) The average stands for average of the quantity over time interval t_(1) to t_(2)

For any arbitrary motion in space, which of the following relations ar

1.	For any arbitrary motion in space, which of the following relations are true? a) v_("average") = (1//2)(v(t_(1) + v(t_(2)) b) v_("average") = [r(t_(2))-r(t_(1)]/(t_(2)-t_(1) v(t) = v(0) + at d) a_("average") = [v(t_(2))-v(t_(1))/[t_(2)-t_(1)) The average stands for average of the quantity over time interval t_(1) to t_(2)
Answer» `vecv_("AVERAGE") = (1)/(2) [vecv(t_(1)) + vecv(t_(2))]` `vecv_("average") = (vecr(t_(2))-vecr(t_(1)))/(t_(2)-t_(1))` `vecv(t) = vecv(0) + veca t` `vecr(t) = vecr(0) + vecv(0)t + (1)/(2)vecat^(2)` Solution :The relation (b) is true, others are false because relations (a), (c ) and (d) HOLD only for UNIFORMLY