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Three people race each other. They all start from the same position (x = 0) and begin the race at the same time (t = 0). The person who is the first to cross the finish line at x = D will win the race. The graphs of the racers’ positions vs. times are shown below. Which statement about these racers is false?

Train A leaves Athens and heads directly toward Sparta at a constant speed of 20 km/hr. One hour later, Train B leaves Sparta and heads directly toward Athens at a constant speed of 60 km/hr. How much time elapses after train B leaves until the two trains pass each other? The distance between Athens and Sparta is 200 km.

A 2000 kg car traveling north at 60 m/s needs to stop in a distance of 300 m. What is the required (constant) acceleration?

A 1200 kg automobile moving at 25 m/s has the brakes applied with a braking force of 6000 N. How far does the car travel before it stops?

A person is pushing on the bottom crate in a stack of two crates as shown. The entire system is at rest. Which of the following statements regarding this situation is FALSE?

A horizontal, stationary plank is supported by two ropes.  The first rope is connected to the left end of the plank.  The second rope is connected to a point a distance D from the left end of the plank, somewhere between the plank’s midpoint and its right end. If you decrease the distance D by a small amount, what will happen to the magnitude of the tension in the second rope?  Assume the plank remains horizontal and stationary, and you do nothing to the first rope.

A car of mass m slides on frictionless ice with velocity 2v. It collides with a truck of mass 2m that slides on the same ice with velocity v directed in the opposite direction. The car and the truck stick together after the collision. How much kinetic energy is lost in the collision?

A uniform solid cylinder rolls without slipping across a flat surface. What fraction of its total kinetic energy is due to rotation? Icylinder = (1/2)MR2

You have a spring with k = 640 N/m connected to a mass with m = 10 kg.  You start the system oscillating and measure the velocity of the mass as it moves through the spring’s equilibrium position to be 4 m/s. At what position is the kinetic energy of the system equal to the potential energy?