Question

Two identical balls are at rest side by side at the bottom of a hill. Some time after ball A is kicked up the hill, ball B is given a kick up the hill. Ball A is headed downhill when it passes ball B headed up the hill. At the instant when ball A passes ball B

Answer 1

Answer:

At the instant when ball A passes ball B, it has the same position and acceleration as ball B

Option D is correct

Step-by-step explanation:

Note that:

• Ball A (while coming downward) meets ball B at a certain point when going upward

• At the point where balls A and B meet, their position is the same

• Because ball A is heading downward while ball B is heading upward, their ,displacements are different

• As ball A moves downward, the velocity increases with time, while the velocity of ball B decreases as it moves upward

• The aceleration of objects under gravity is constant (g = 9.8 m/s²)

Following the points noted above, we can infer that that at the instant when balls A and B pass each other, their positions are the same. Also, they have the same acceleration because acceleration is constant.

At the instant when ball A passes ball B, it has the same position and acceleration as ball B