Question

A basketball player throws a ball upward from her hands, which are 5 feet above the ground. The basketball reaches a maximum height and then descends a few feet and becomes stuck in the net. Which graph could represent the relationship between the height of the ball and time?

Answer 1

The ball initially goes up then reaches a maximum height from which it

returns downwards and stops in the basket.

Please find attached the graph that represents the relationship between the height of the ball and time.

Reasons:

• The initial height of the basketball = 5 feet

• The motion of the basketball is a parabola, which is concave downwards.

• Given that the basket ball becomes stuck in the net and that the net is higher than 5 feet, we have that the position of the ball after it comes to rest will be higher than the initial position.

Therefore;

The graph of the motion of the ball representing the relationship between he height of the ball and time is as presented in the attached graph crated with MS Excel.

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