A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2

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A golf ball is hit with a club from the ground on a flat surface. The height of the ball, h(t), in feet, t seconds, after it was hit can be modeled by the function h(t)=40t-16t2. After how many seconds does the golf ball strike the ground?

The ball strikes the ground when the height h(t) = 0. To get the time wen the golf ball strikes the ground, we will substiute h = 0 into the modeled equation and calculate t as shown;

h(t)=40t-16t2

0 h(t)=40t-16t2

40t-16t² = 0

add 16t² to both side

40t-16t²+16t² = 0+16t²

40t = 16t²

40 = 16t

divide both sides by 16

t = 40/16.

t = 2.5secs

Hence the golf ball hit the ground after 2.5secs

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