20 POINTS PLEASE HURRY PLEASE
Harrison plays a game in which he uses a net to catch balls that are randomly launched from holes in the ground. The height of one ball after t seconds is represented by the function f(t) = –16t2 + 20t.
After how many seconds does the ball return to the ground? Round to the hundredths place as needed.
_________ seconds
Answers
Given : balls are randomly launched from holes in the ground.
The height of one ball after t seconds is represented by the function f(t) = –16t² + 20t.
To Find : After how many seconds does the ball return to the ground
Solution:
f(t) = - 16t² + 20t
f(t) = 0 at ground
=> - 16t² + 20 t = 0
=> 4t² - 5t = 0
=> t(4t - 5) = 0
=> t = 0 or t = 4/5
t = 0 is when launched from hole
t = 4/5 is when it returned back
Time taken = 4/5 - 0 = 4/5 secs
= 0.8 sec
After 0.8 seconds does the ball return to the ground
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