2. 1D Motion / Kinematics

Abby throws a ball straight upward with an initial velocity of $v_{0y}$. Ignoring air resistance, how high above her original starting position does the ball rise before coming to rest momentarily at its peak?

A $60kg$ rider is in an elevator that is in free fall. What is the rider's apparent weight during the period of free fall?

For an object falling freely from rest, show that the distance traveled during each successive second increases in the ratio of successive odd integers (1, 3, 5, etc.). (This was first shown by Galileo.) See Figs. 2–27 and 2–30.

A baseball is seen to pass upward by a window with a vertical speed of 13 m/s. If the ball was thrown by a person 18 m below on the street, when was it thrown?

A small bag of sand is released from a hot air balloon that is ascending vertically at a constant velocity. Ignoring air resistance, what is the initial velocity of the sand bag immediately after it is released, relative to the ground?

When a bullet is fired horizontally from a rifle, at what point does it begin to fall toward the ground due to gravity?

Two identical balls are dropped from the same height at the same time, one from rest and the other thrown downward with an initial speed $v\_0$. Ignoring air resistance, which ball hits the ground first, or do they hit at the same time?

Which statement best compares the accelerations of two objects in free fall near Earth's surface (neglecting air resistance)?

The motor of a 350 g model rocket generates 9.5 N thrust. If air resistance can be neglected, what will be the rocket's speed as it reaches a height of 85 m?

A brick is dropped (zero initial speed) from the roof of a building. The brick strikes the ground in $1.90$ s. You may ignore air resistance, so the brick is in free fall. How tall, in meters, is the building?

Ball bearings are made by letting spherical drops of molten metal fall inside a tall tower—called a shot tower—and solidify as they fall. What is the bearing's impact velocity?

In vertical motion under gravity, how does the vertical acceleration at point $A$ compare to the vertical acceleration at point $C$ along the trajectory of a freely falling object (neglecting air resistance)?

A rocket rises vertically, from rest, with an acceleration of 3.2 m/s² until it runs out of fuel at an altitude of 725 m. After this point, its acceleration is that of gravity, downward. What maximum altitude does the rocket reach?

Nicole throws a ball straight up. Chad watches the ball from a window 5.0 m above the point where Nicole released it. The ball passes Chad on the way up, and it has a speed of 10 m/s as it passes him on the way back down. How fast did Nicole throw the ball?

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?