Kasey jumped off a cliff into the ocean. His height as a function of time could be modeled by the function h(t)=-16t^2+16t+480. 17) How long did it take for Kasey to reach max height?

Question

t is time in seconds, h is height in feet. 17) How long did it take for Kasey to reach max height? 18) What was the highest point Kasey reached? 19) Kasey hit the water after how many seconds?

Answer 1

v(t) = dh/dt = - 32t + 16 = 0; t = 0.5 s

h_max = h(05) = - 4 + 8 + 480 = 484 feet

h(t) = - 16t² + 16t + 480 = 0; t² - t - 30 = 0; t = 6 s