Draw graphs of position (s), velocity (v.), and acceleration (a) as a function of time for this ball rolling down a smooth track. This track has a "switch." A ball moving to the right goes up the incline, but a ball rolling downhill goes straight through.

A basketball is dropped from a walkway above Bartow Arena. It falls from rest with a constant acceleration of 9.8 m/s² until it reaches the floor 2.5 seconds later. A physics class is modeling the 1-D straight line motion as part of a class project They want construct a simple, but accurate, data table using the following equations: V₁+1 = V₁ + at and X₁+1 = X₁ + vi t which are familiar to you. Their instructor requires them to make the constant time interval▲t between rows in their table sufficiently small so that they have only a 4 percent error in the total distance traveled by the ball during the 2.5 seconds. What should be the value of At in their data table to cover the entire time interval and achieve the desired error?

You stand at the top of a cliff while your friend stands on the ground below you. You drop a ball from rest and see that she catches it 1.4 s later. Your friend then throws the ball up to you, such that it just comes to rest in your hand. What is the speed with which your friend threw the ball?

A ball rolls along flat ground at 7.5 m/s (call this the positive direction) then encounters a hill. If the ball rolls 19 m up the hill before coming to a stop, what was the acceleration (in m/s2) experienced by the ball as it rolled up the hill?