A SPACE FOR SPACE

A sled accelerates down a snowy hill at 3.5 m/s^2 for 15 seconds until it finally reaches the bottom. Determine the distance traveled before the sled reaches the bottom.

A cheetah accelerates uniformly from 20 mph to 70 mph in 3 seconds. Determine the acceleration of the cheetah and the distance traveled.

A piano is dropped from a roof and hits the ground 4.27 seconds after being dropped. Determine the height of the building. 

Does a car’s speedometer measure speed, velocity, or both? Why?

A block is moving in a straight line. Given the velocity-time motion graph shown below representing the process, what would be the block’s displacement from time 0 seconds to 20 seconds. Also, what would its acceleration be at 5 seconds?                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                                   

A stress ball is tossed up into the air and has a hang-time of 8 seconds. When the ball is about to reach its peak, how high up in the air is it?

If one object has greater speed than a second object, does this mean that the first object has a greater acceleration? Why or why not? Can you think of an example to prove your answer?

You are driving a car at 30 m/s when a bad driver traveling at a constant speed of 20 m/s swerves into your lane 20 meters ahead. As soon as you see the car in front of you, you begin to brake. What is the smallest deceleration needed, to avoid rear-ending the car? You may assume your acceleration is constant.

A projectile is launched at an initial speed v from some angle (it starts on the floor). It lands on top of some hill of height h a horizontal distance x away. Express the height of the hill in terms of the other given quantities and the gravitational acceleration constant g.

Is the vertical velocity at the top of projectile motion greater than the velocity at any other point? Why or why not?

A toy airplane is launched at an upward angle of 30.0 degrees to the horizontal with an initial speed of 30.0 m/s. How does the horizontal component of its velocity 1.0 seconds after the launch compare to its horizontal component of velocity 5.0 seconds after launching into the air?

For each scenario, the projectile is launched from the same height, has the same speed, at the same initial angle. They all reach their maximum height before landing.Rank the scenarios from greatest to least in terms of their flight time and final speed. Explain.

The projectile is launched so that yfinal = yo

The projectile is launched so that yfinal > yo

The projectile is launched so that yfinal < yo

A tennis ball is thrown off of a 10.0 meter cliff with an initial velocity of 7 m/s. How long does it take for the ball to hit the ground?

 A baseball is shot out of a pitching machine at 45.0 degrees to the horizontal with an initial speed of 25.0 m/s. There is a net stationed 45.0 meters from the cannon. At what height should the net be placed in order to catch the baseball?

Andy dropped a football off of a 30.0 meter high cliff. If Andy hears the ball hitting the ground 4.00 s later, what was the original speed given to the football? (Speed of sound in the air is 343 m/s).