At time t, a particle moving along a path C has position vector tis 27 r = tit Vojt - k ( a ) ( 8 points ) Find its velocity and acceleration...

At time t, a particle moving along a path C has position vector

4. At time t, a particle moving along a path C" has position vectortis27r = titVojt - k( a ) ( 8 points ) Find its velocity and acceleration at time & = 1 .( b ) ( 3 points ) Find the cosine of the angle between the velocity and accelerationvectors at time t = 1 .( C ) ( 4 points ) Find the speed of the particle at time t, and find the arc length Ortotal distance travelled along C from the point where +. = O to the point where+ = 1 .