Two identical balls are at rest and side by side at the top of a hill. You let one ball, A, start rolling down the hill. A littl

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4 days ago

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Two identical balls are at rest and side by side at the top of a hill. You let one ball, A, start rolling down the hill. A littl

e later you start the second ball, B, down the hill by giving it a shove. The second ball rolls down the hill along a line parallel to the path of the first ball and passes it. At the instant ball B passes ball A:
a. it has the same position and the same velocity as A.b. it has the same position and the same acceleration as A.c. it has the same velocity and the same acceleration as A.d. it has the same displacement and the same velocity as A.e. it has the same position, displacement and velocity as A.

Physics

1 answer:

inna [2.2K] · Answer 1 · 2026-03-21T23:32:33+03:00

Answer:

Option b. it has the same position and the same acceleration as A

Explanation:

Now, let's examine each statement:

a. it has the same position and the same velocity as A

At the moment B overtakes A, they share the same location. However, their velocities cannot match, or else ball B wouldn't be able to pass ball A. Thus, this statement is false.

b. it has the same position and the same acceleration as A

As established before, their positions coincide, and both balls are subjected to gravitational acceleration, making this statement true.

c. it has the same velocity and the same acceleration as A

While the accelerations are identical, their velocities differ, rendering this statement false.

d. it has the same displacement and the same velocity as A

Though they have traveled the same distance, their velocities are not the same, thus this statement is false.

e. it has the same position, displacement and velocity as A

While their position and displacement match, their velocities do not, so this statement is false.

Therefore, only option b is correct.