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Some 1D kinematics problems:

1. Indianapolis race cars make a rolling start. At the beginning of the race they are moving at 120 mph and they accelerate to 250 mph in 4.0 seconds.

Objects falling near earth with no forces acting except gravity have a downwards acceleration of 9.8 m/s².

2. A ball is thrown upwards at 9.0 m/s toward a platform located 4.1 m above the point where you release the ball. Air resistance is negligible.

3. You notice a falcon diving past the Kodak office building. You see it pass 5 stories in 1.5 seconds, and at the end has a downwards velocity of 15 m/s. (Hints: You can assume a story is 3 m high. The bird has wings, so its acceleration may be different from gravity. It may help to adopt the convention that upwards is positive and downwards is negative.)

4. Your coop job is with a research group studying ozone depletion. Your group will launch a rocket that has a mass spectrometer in its nose cone. You are assigned the task of determining the acceleration of the rocket so that the equipment can be designed to survive. The rocket you will have has a burn time of 30 seconds, and can be assumed to produce constant acceleration. After the fuel is exhausted the rocket will enter free-fall. You are told that the total time of flight of the rocket must be 5.0 minutes. What is the acceleration of the rocket when the engine is on, and what is the maximum altitude of the rocket? BONUS Is this problem realistic (i.e., does the rocket actually spend time in the ozone layer so that measurements are possible)? Where is the ozone layer anyway?