Devin jumped off a cliff into the ocean in Acapulco while vacationing with his family. His height as a function of time could be modeled by the function h(t)= -16t square root 2 +16t +96, where T is the time in seconds and H is the time in feet. How many seconds until Devon hit the water? Around to the nearest tenth is necessary.
1 answer:
Answer:
<em>3 seconds </em>
Step-by-step explanation:
Given the height modelled by the function
h(t) = -16t² + 16t + 96
The hit the water at h(t) = 0
0 = -16t² + 16t + 96
Divide through b y -16
0 = t² - t - 6
t² - t - 6 = 0
t² - 3t+2t - 6 = 0
t(t-3)+2(t-3) = 0
t+ 2 = 0 and t - 3 = 0
t = -2 secs and t = 3secs
Since t can't be negative, hence;
t = 3 secs
<em>hence it will take 3 seconds until Devon hit the water </em>
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