Problema Solution
Later that day, Tracy became interested in the maximal height for throwing a ball. On the internet, she finds that the maximum pitching speed of professional baseball players is 150 feet per second (about 105 miles per hour). The equation for the height y (in feet) after t seconds of a ball thrown vertically in the air at that speed is y(t)=-16t^2+150t
At what time would the ball reach a height of 300 feet?
Answer provided by our tutors
After 1 second, the ball would reach this height:
-16+150=134
So to reach 300 feet:
300=-16t^2 + 150t
t=6.48
So it would take approximately 6.5 seconds to reach 300 feet.