Problema Solution
Former MLB pitcher Nolan Ryan was once recorded throwing a fastball at 100.9 mph (148 ft/s). If Nolan Ryan were to throw this high-speed pitch straight up from an initial height of 7.8 ft, how long would it remain in the air, ignoring air resistance? Use the formula , where h is the height of the ball in feet and t is the time in seconds since it is pitched. Round your answer to the nearest tenth
Answer provided by our tutors
We will solve assuming the formula is:
h(t)=-14t^2+148t+7.8, where h is the height of the ball in feet and t is the time in seconds since it is pitched
We need to find t, t > 0, such that h(t) = 0
-14t^2+148t+7.8 = 0
........
click here to see the quadratic equation solved for t
........
t = 10.6 s
The ball will stay in the air for 10.6 seconds.