1. An airplane lands and starts down the runway at a northwest velocity of 48.8 m/s. What constant acceleration allows it to come to a stop in 1.14 km?southeast

2.1. A cheetah can accelerate from rest to 25.5 m/s in 1.84 s. Assuming the acceleration is constant over the time interval, what is the magnitude of the acceleration of the cheetah?

2.2. What is the distance traveled by the cheetah in these 1.84 s?

2.3. A runner can accelerate from rest to 6.16 m/s in the same time, 1.84 s. What is the magnitude of the acceleration of the runner?

2.4. By what factor is the cheetah's average acceleration magnitude greater than that of the runner?

3.1. A train, traveling at a constant speed of 23.8 m/s, comes to an incline with a constant slope. While going up the incline, the train slows down with a constant acceleration of magnitude 1.80 m/s2. What is the speed of the train after 7.41 s on the incline?

3.2. How far has the train traveled up the incline after 7.41 s?

4. A penny is dropped from the top of the GE Building, New York City, from a height of 259 m above ground. With what velocity does it strike the ground? Ignore air resistance.down

5. Grant Hill jumps 1.26 m straight up into the air to slam-dunk a basketball into the net. With what speed did he leave the floor?

6. A balloonist, riding in the basket of a hot air balloon that is rising vertically with a constant velocity of 10.4 m/s, releases a sandbag when the balloon is 37.4 m above the ground. Neglecting air resistance, what is the bag's speed when it hits the ground?

7.1 A stone is launched straight up by a slingshot. Its initial speed is 19.8 m/s and the stone is 1.34 m above the ground when launched . How high above the ground does the stone rise?

7.2.How much time elapses before the stone hits the ground?

8.1.A rocket engine can accelerate a rocket launched from rest vertically up with an acceleration of 19.4 m/s2. However, after 49.7 seconds of flight the engine fails. Neglect air resistance and assume g = 9.80 N/kg throughout the flight. What is the rocket's elevation when the engine fails?

8.2. When does it reach its maximum height?

8.3. What is the maximum height reached?

8.4. What is the velocity of the rocket just before it hits the ground?

9. The minimum stopping distance of a car moving at 37.3 mi/h is 12.1 m. Under the same conditions (so that the maximum braking force is the same), what is the minimum stopping distance for 62.6 mi/h? Work by proportions to avoid converting units.

10.1. Calculate the point of no return for an airport runway of 1.26 miles in length if a jet plane can accelerate at 12.0 ft/s2 and decelerate at 7.20 ft/s2. The point of no return occurs when the pilot can no longer abort the takeoff without running out of runway.

10.2. What length of time is available from the start of the motion in which to decide on a course of action?