A Foul Ball Is Hit Straight Up into the Air

question 135

Essay

A foul ball is hit straight up into the air with a speed of 30 m/s, and air resistance is
negligible.
(a) Calculate the time required for the ball to rise to its maximum height.
(b) Calculate the maximum height reached by the ball above the point where it hit the bat.
(c) Determine the times at which the ball passes a point 25 m above the point where it was
hit by the bat.
(d) Explain why there are two answers to part (c).

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Definitions:

Golgi Tendon Reflex

A protective reflex mechanism that prevents muscles from contracting excessively by inhibiting the muscle contraction when the tendon is under a high tension.

Painful Stimuli

External or internal factors that cause pain sensation, triggering a response from the nervous system.

Withdrawal Reflex

An automatic response to a painful stimulus that involves the immediate removal of the body part from the source of pain.

Stretch Reflexes

Reflex actions initiated by stretching the muscles, which in turn respond by contracting, contributing to posture and locomotion.