After how many seconds will the ball hit the ground? h = -16t^2 + 12t + 40

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After how many seconds will the ball hit the ground? h = -16t^2 + 12t + 40

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Answer:2 secondsStep-by-step explanation:h = -16t^2 + 12t + 40

by the time the ball hit the ground, height (h) = 0

0 = -16t^2 + 12t + 40

solve time (t) using quadratic equation: ax^2+bx+c=0

– b ±

x = —————————–

2a

where:

a = -16

b = 12

c = 40

plugin values into the formula

– 12 ±

t = ———————————-

2 (-16)

t = -5/4 ,

t = 2therefore, the ball will hit the ground in 2 seconds