Choose whether each of the following statements is true or false

1. When air resistance is taken into account, a ball thrown directly upward spends more time on the way down than on the way up. You drop a ball to the ground from rest, and, from the same height, throw a second identical ball down to the ground.
2. Their change in gravitational potential energies are different.

1. The statement is false.

2. The statement is false.

Explanation:

1. When a ball is thrown vertically up, the air drag is acting downwards which reduces the time the ball spends traveling upwards, but the air drag is acting upwards while the ball is falling, which increases the time the ball spends traveling downwards.

Thus, the statement is false.

2. The potential energy of a particle is given by

where, is the mass of the object, is the acceleration due to gravity and is the vertical height traveled by the object.

It does not depend on th initial velocity of the object.

Thus, the statement is false.