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Harrizon [31]
3 years ago
13

HELP I WILL GIVE BRANNIEST

Mathematics
1 answer:
krek1111 [17]3 years ago
4 0

Answer:

0.75s , 15ft

Step-by-step explanation:

Use Derivatives,

Notice that the above function is a quadratic curve, meaning it has either a maximum or minimum point, which is the turning point and that is what we are solving for to find a 'max' or 'min'.

\frac{d}{dt}h = \frac{d}{dt}(-16t² + 24t + 6)

\frac{dh}{dt} = -32t + 24

At turning points (max/min),

the gradient is 0 meaning,

\frac{dh}{dt} = -32t + 24 = 0.

t = 24/32 = 3/4

so time = 0.75 second

Substitute this t into the function,

we get h = -16 * 0.75 *0.75 + 24 * 0.75 + 6 = 15ft

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