Graph Analysis: Basketball Height as a Function of Time (Y vs X)

Question

Choose the graph that best describes the following:

The height of a basketball (Y) when a player bounces it as a function of time (X).

Step-by-Step Solution

When the player dribbles the ball, it starts from hand height and then moves downwards to touch the floor before bouncing up again. This motion is repeated.

In other words, the ball starts from a height, touches the floor at height 0, and then returns to the player's hand repeatedly.

This means that the graph will have an up and down motion and therefore the graph in answer (b) is correct.

Answer

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