2. 1D Motion / Kinematics

A student throws a set of keys vertically upward to her sorority sister who is in a window 14.00 m above. The second student catches the keys 1.50 s later. (a) With what initial velocity were the keys thrown? (b) What was the velocity of the keys just before they were caught?

A rock is thrown vertically upward with a speed of 27.0 m/s from the roof of a 31.0-m-tall building. The rock doesn't hit the building on its way back down and lands in the street below. (a) What is the speed of the rock just before it hits the street? (b) How much time elapses from when the rock is thrown until it hits the street?

A person holds a bill of length $16cm$ vertically above her hand and releases it from rest. Assuming negligible air resistance and that the acceleration due to gravity is $g=9.8m/s^2$, approximately how much time does it take for the bill to fall completely beyond her grasp?

A ball is thrown straight up from the ground. At the very top of its trajectory, what is the direction of its $v$ vector?

A person holds a bill of length $16cm$ vertically at the top edge. If the bill is released and allowed to fall freely under gravity, approximately how much time does it take for the bottom edge of the bill to fall beyond her grasp (i.e., to fall $16cm$)? Assume acceleration due to gravity is $9.8m/s^2$ and neglect air resistance.

An object is dropped from rest and falls freely under gravity for $3.5 s$ seconds. How far does it fall? (Assume $g=9.8 m/s^2$ and neglect air resistance.)

What is the approximate value of the free-fall acceleration at the surface of Jupiter?

During free fall, what is the acceleration of an object moving upward (neglecting air resistance)?

If you drop a rock from rest and it falls $4.9$ meters in $1$ second, how far will it fall in $3$ seconds (neglecting air resistance)?

When an object is thrown upward, what is the acceleration of the object while it is moving upward, neglecting air resistance?