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For problem 4, use the position function p(t) = -16t^2 + v0t + P0? where s is me

ID: 1317544 • Letter: F

Question

For problem 4, use the position function p(t) = -16t^2 + v0t + P0? where s is measured in feet, t in seconds and v0 and Po are the initial velocity and position respectively. 4. A professional baseball pitcher was capable of throwing a baseball 160 ft/s. During his career, he had the opportunity to pitch ?n the Houston Astrodome. The Astrodome was an indoor stadium with a ceiling 208 ft. high. a. Could the pitcher have hit the ceiling of the Astrodome if he were capable of giving a baseball an upward velocity of 100 ft/s from a height of 7.5 ft? b. How fast would the pitcher have to throw a ball upward from a height of 7.5 feet in order to hit the ceiling of the Astrodome?

Explanation / Answer

Equation for calculating height at time t:

h(t) = -a/2 t