For motion in a plane with constant acceleration a- non zero initial velocity v-0 and final velocity v- after time t-

The correct option is A v⃗.(v⃗ a⃗t)=v⃗_0.(v⃗_0+a⃗t) v⃗ a⃗t = v⃗_0 and v⃗_0 + a⃗t = v⃗ Hence we get: v⃗. v⃗_0 = v⃗_0.v⃗ ...

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Constrained Motion : General Approach

For motion in...

Question

For motion in a plane with constant acceleration $\to a$ , non zero initial velocity ${\to v}_{0}$ and final velocity $\to v$ after time $t$ :

\to v . (\to v - \to a t) = {\to v}_{0} . ({\to v}_{0} + \to a t)

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\to v . {\to v}_{0} = a t^{2}

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\to v . {\to v}_{0} = \to a . {\to v}_{0} t

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{\to v}_{0} . {\to v}_{0} = \to a . {\to v}_{0} t

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