Should you steer to avoid the cow, or can you rely solely on your brakes? 3. The

Question

Should you steer to avoid the cow, or can you rely solely on your brakes? 3. The figure below shows the graphs of three functions. One is the position of a car, one is the velocity of the car, and one is its acceleration. Identify each curve and explain your choices. 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 P0 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 in 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

3.

a = acceleration = it changes from positive to negative

b = velocity = It increases initially and then decreases

c = position = It has never a -ve slope

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