Jason jumped off a cliff into the ocean while vacationing with some friends. His height as a function of time could be modeled by the function h(t)= -16t^2 + 16t + 480, where t is the time in seconds and h is the height is feet.

a. How long did it take for Jason to reach his maximum height?

b. What was the highest point that Jason reached?

c. Jason hit the water after how many seconds?

Guest Mar 10, 2020

#1**+3 **

Jason jumped off a cliff into the ocean while vacationing with some friends. His height as a function of time could be modeled by the function h(t)= -16t^2 + 16t + 480, where t is the time in seconds and h is the height is feet.

a. How long did it take for Jason to reach his maximum height?

The time to reach the max height is given by :

-16/ [ 2 * -16] = 1 / 2 sec

b. What was the highest point that Jason reached?

Highest point = -16(1/2)^2 + 16 (1/2) + 480 = -4 + 8 + 480 = 484 ft

c. Jason hit the water after how many seconds?

We need to solve this :

-16t^2 + 16t + 480 = 0 divide throug by - 16

t^2 - t - 30 = 0 factor

(t + 5) ( t - 6) = 0

Seteting each factor to 0 and solving for t produces

t = - 5 sec [ reject ]

or

t = 6 sec [ accept ]

CPhill Mar 10, 2020