CHAPTER 2

  1. (P.73 Prob.30) The velocity-versus-time graph is shown for a particle moving along the x-axis. Its position is x0 = 2.0m at t0 = 0s.
    a. What are the particle's position, velocity, and acceleration at t = 1.0s?
    b. What are the particle's position, velocity, and acceleration at t = 3.0s?
  2. (P.74 Prob.40) A particle's acceleration is described by the function ax = (10 - t) m/s2, where t is in s. Its initial conditions are x0 = 0 m and v0x = 0 m/s, at t = 0 s.
    a. At what time is the velocity again zero?
    b. What is the particle's position at that time?
  3. (P.74 Prob.44) FigureP2.44 shows a set of kinematic graphs for a ball rolling on a track. all segments of the track are straight lines, but some may be tilted. Draw a picture of the track and also indicate the ball's initial condition.
  4. (P.75 Prob.50) You are driving to the grocery store at 20m/s. You are 110m from an intersection when the traffic light turns ared. Assume that your reaction time is 0,50s and that your car brakes with constant acceleration.
    a. How far are you from the intersection when you begin to apply the brakes?
    b. What acceleration will bring you to rest right at the intersection?
    c. How long does it take you to stop?
  5. (P.76 Prob.66) Heather and Jerry are standing on a bridge 50 m above a river. Heather throws a rock straight down with a speed of 20m/s. Jerry, at exactly the same instant of time, throws a rock straight up with the same speed. Ignore air resistance.
    a. How much time elapses between the first splash and the second splash?
    b. Which rock has the faster speed as it hits the water?
  6. (P.77 Prob.77) Optional Challenge Problem. Jill has just gotten out of her car in the grocery store parking lot. The parking lot is on a hill and is tilted 3? Fifty meters downhill from Jill, a little old lady lets go of a fully loaded shopping cart. The cart with frictionless wheels, starts to roll straight down hill, Jill immediately starts to spring after the cart with her top acceleration of 2.0m/s2. How far has the cart rolled before Jill catches it?