1. A car is speeding at a constant 25 m/s (56 mi/h) in a school zone. A police car starts from rest just as the speeding car passes by it and accelerates at a constant rate of 5.0 m/s².

(a) When does the police car catch the speeding car?

(b) How fast is the police car traveling when it catches up with the speeder?

2. An object is released from rest at a height h. During the final second of its fall, it travels a distance of 38 m. Determine h.

3. A rock is thrown with a velocity of 49 m/s upward from a point 15 m above the ground, calculate:

(a) When the rock reach its maximum height?

(b) The maximum height of the rock above the ground?

4. A tetherball of mass m is suspended from a length L of rope and travels at constant speed v in a horizontal circle of radius r. The rope makes an angle θ with the vertical. Find

(a) The direction of the acceleration,

 (b) The tension of the rope, and

(c) The speed of the ball.

5. A 20 kg box rests on a frictionless ramp with a 15° slope. The mover pulls on a rope attached to the box to pull it up the incline (see Figure). If the rope makes an angle of 40° with the horizontal, what is the smallest force F the mover will have to exert to move the box up the ramp?

6. From F = -kx for a spring, prove U = 1/2kx².

7. Give an explanation for non-science students to understand why the curved exits and entrances of highway are always banked?

8. As shown in Figure, m₁ = 4.0 kg, m₂ = 5.0 kg, and the coefficient of kinetic friction between m₁ and the inclined plane is 024. Find the magnitude of the acceleration of the masses and tension in the cord.