Jamar is playing a video game. The object of the game is to roll a marble into a target. In the figure, the
shaded rectangular area represents the video screen and the black rectangle is a barrier. Because of the
barrier, it is not possible to roll the marble M directly into the target T. At what point should Jamar aim
the marble so that it will bounce off a wall and roll into the target?

Jamar should hit the wall opposite to the side of the barrier(if there is a space), which will cause the ball to bounce off the wall at an angle and into Target.

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fichoh fichoh · Answer 2 · 2021-09-28T15:07:00+02:00

Aiming for the coordinate (0, 2.5) along the plane AB would ensure that the ball hits the plane AB and travels diagonally to the point T which is the target.

To ensure that the marble escapes the barrier, the ball should be aimed at a point along the AB plane.

This point should be about the midpoint of the width of the side of the barrier.

Once the marble travels diagonally to hit the plane AB, it travels diagonally upward, hence escaping the barrier and hitting the target T.

The coordinate point to be aimed at on the plane AB which is also equal to the midpoint of the barrier's width is : (0, 2.5)

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