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wel
3 years ago
11

Someone please help T.T I need help ASAP

Mathematics
1 answer:
const2013 [10]3 years ago
3 0

Step-by-step explanation:

Given that,

The quadratic equation that models the ball's height above the ground h, t seconds after it was thrown is given by :

h=-16t^2+108t+28 ...(1)

(a) For maximum height, put dh/dt = 0

So,

\dfrac{d(h)}{dt}=\dfrac{d}{dt}(-16t^2+108t+28)=0\\\\-32t+108=0\\\\t=\dfrac{108}{32}=3.37\ s

Put the value of t in equation (1).

So,

h=-16(3.37)^2+108(3.37)+28\\\\h=210.24\ ft

(b) When the ball reaches the ground,

h = 0

So,

-16t^2+108t+28=0\\\\t=7\ s

So, the ball hits the ground in 7 seconds.

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