Question

If several balls are thrown straight up with different initial speeds, the quantity that will have the same value along their paths is theirA) initial momentum.B) maximum height.C) time of travel.D) acceleration

Answer 1

D) Acceleration

Step-by-step explanation:

All the balls are thrown straight up in air, so (if we neglect air resistance) there will be only one force acting on them: the force of gravity.

The force of gravity acting on each ball is given by

`F=mg`

where

m is the mass of the ball

g is the acceleration due to gravity (9.8 m/s^2, downward)

Using Newton's second law, F=ma, where F is the net force acting on the ball, we can write:

`mg=ma`

And by simplifying, we find that the acceleration of each ball is:

`a=g`

and since g is a constant value, we conclude that the acceleration of each ball does not depend on the mass or the initial speed, so it is the same for each ball.