Quiz Number 34 Name: Date: Today’s Calculus Tip: Acceleration is the derivative of velocity, and velocity the derivative of position. 10 10 cos t for t 0 t 6 , and x(0) 0 , where t is measured in seconds and x in meters. A particle moves along the x-axis. Its position at time t is given by x(t ) 1. Find an expression in t for the velocity for 0 t 6 . 2. What is the velocity at time t = 0 ? 3. When is the particle moving to the right? 4. Find the total distance traveled by the particle during the first 6 seconds. 5. When is the acceleration of the particle 0?