SOLUTION: A football is kicked into the air. The height of the football is modelled by h(t)=-5t^2+16t+1 when the height is in metres and t is the time in seconds from its release. When will
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Question 1028630: A football is kicked into the air. The height of the football is modelled by h(t)=-5t^2+16t+1 when the height is in metres and t is the time in seconds from its release. When will the football first reach the height of 13 metres?
Found 2 solutions by josmiceli, Natolino1983:
Answer by josmiceli(19441) (Show Source): You can put this solution on YOUR website!
You are given that where
Use quadratic formula
and also
----------
The first time the height of the ball is at 13 m
is 1.2 sec
-------------
check:
Here's the plot:
Answer by Natolino1983(23) (Show Source): You can put this solution on YOUR website!
H(t) = -5×t^2 +16×t + 1 = 13, where t>=0
5×t^2 -16×t + 12 =0
t= (16 +/- sqrt (16^2 -4×5×12))/(2×5)
t= (16+/-4)/10
t= 2 (s) or t = 1,2 (s)
So the minimum(first reach) time is 1,2 (s) after the kick.
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