The position of a particle moving along the x axis is given in centimeters by x 9.75

Chapter 2, Problem 17

(choose chapter or problem)

The position of a particle moving along the x axis is given in centimeters by \(x=9.75+1.50 t^{3}\), where t is in seconds. Calculate

(a) the average velocity during the time interval t = 2.00 s to t = 3.00 s;

(b) the instantaneous velocity at t = 2.00 s;

(c) the instantaneous velocity at t = 3.00 s;

(d) the instantaneous velocity at t = 2.50 s; and

(e) the instantaneous velocity when the particle is midway between its positions at t = 2.00 s and t = 3.00 s.

(f) Graph x versus t and indicate your answers graphically.