A y moves with velocity sin(t) centimeters per second. (a) After 5%- seconds, how much has its position changed? (b) After 5??? seconds, how far has it traveled? The velocity of a. particle, in centimeters per second, is given by 12 10t + 24. Find the total distance traveled by the particle over the interval 0 g t g 10. t3 t2 The position of a car, in km, at time 1 hours is given by ? + 3? 2t. (a) Find the displacement of the car after 5 hours. (b) Find the total distance traveled by the car after 5 hours