What are the values of the intial velocity vector components and (both in ) as w

Question

What are the values of the intial velocity vector components and (both in ) as well as the acceleration vector components and (both in )? Here the subscript 0 means "at time ."

Explanation / Answer

int [t0-->t] that group of lettering denotes the integral from initial time to final time. As we know that the time derivative of position is velocity and the time derivative of velocity is acceleration we can say that the integral of acceleration from initial time to final time is the velocity int [t0-->t] a_0x (t) dt = v_0x (t) and int[t0-->t] a_0y (t) dt = v_0y (t)

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