Question

A particle is moving along the x-axis with velocity v(t) = sin2t. At time t = pi/2 it has position x = 3. Find the total distance, s traveled by this particle on the interval 0 <= t <= pi.

Answer 1

In your question where as a particle is moving along side x-axis with a velocity of V(t) = sin2t. where as time T= pi/2 and has a position of x=3 so find the distance traveled by the particle. In my calculation i came up with an answer of -0.5 cos 2t+2.5