3 years ago

PLEASE ANSWER QUICKLY. I WILL GIVE THE BRAINLIEST ASAP.

Mathematics

2 answers:

morpeh [17]3 years ago

7 0

Answer:

options (c) is right answer

nata0808 [166]3 years ago

5 0

Answer: B

Step-by-step explanation:

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The maximum height of the projectile is the maximum point that can be gotten from the projectile equation

The projectile reaches the maximum height after 5 seconds

The function is given as:

$\mathbf{h(t) = -16t^2 + 160t}$

Differentiate the function with respect to t

$\mathbf{h'(t) = -32t + 160}$

Set to 0

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So, we have:

$\mathbf{-32t + 160 = 0}$

Collect like terms

$\mathbf{-32t =- 160 + 0}$

$\mathbf{-32t =- 160}$

Solve for t

$\mathbf{t = \frac{- 160}{-32}}$

$\mathbf{t = 5}$

Hence, the projectile reaches the maximum after 5 seconds

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