2. 1D Motion / Kinematics

A police car at rest is passed by a speeder traveling at a constant 140 km/h. The police officer takes off in hot pursuit and catches up to the speeder in 850 m, maintaining a constant acceleration.

(a) Qualitatively plot the position vs. time graph for both cars from the police car's start to the catch-up point.

Calculate (b) how long it took the police officer to overtake the speeder,

A police car at rest is passed by a speeder traveling at a constant 140 km/h. The police officer takes off in hot pursuit and catches up to the speeder in 850 m, maintaining a constant acceleration.

(a) Qualitatively plot the position vs. time graph for both cars from the police car's start to the catch-up point.

(II) The position of a small object is given by 𝓍 = 27 + 10t ― 2t³, where t is in seconds and 𝓍 in meters.

(a) Plot 𝓍 as a function of t from t = 0 to t = 3.0 s.

(II) The position of a race car, which starts from rest at t = 0 and moves in a straight line, is given as a function of time in the following Table. Estimate

(a) its velocity as a function of time. Display each in a Table and on a graph. <IMAGE>

FIGURE P1.58 shows a motion diagram of a car traveling down a street. The camera took one frame every 10 s. A distance scale is provided.

<IMAGE>

b. Make a position-versus-time graph for the car. Because you have data only at certain instants of time, your graph should consist of dots that are not connected together.

FIGURE EX2.5 shows the position graph of a particle. (a) Draw the particle’s velocity graph for the interval . <IMAGE>

Ann and Carol are driving their cars along the same straight road. Carol is located at x = 2.4 mi at t = 0 h and drives at a steady 36 mph. Ann, who is traveling in the same direction, is located at x = 0.0 mi at t = 0.50 h and drives at a steady 50 mph.

c. Draw a position-versus-time graph showing the motion of both Ann and Carol.