A baseball is hit from an initial height of 3 feet and reaches a maximum height of 403 feet. Which function could be used to model this situation, where h(t) is the height, in feet, after t seconds?

A. h(t) = -16(t - 403)^2 + 3
B. h(t) = -16(t - 5)^2 + 3
C. h(t) = -16(t - 3)^2 + 403
D. h(t) = -16(t - 5)^2 + 403

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Respuesta :

lkoehl lkoehl · Answer 1 · 2020-12-06T18:42:59+01:00

Answer:

I believe its A

Step-by-step explanation:

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varshamittal029 varshamittal029 · Answer 2 · 2022-06-17T01:09:10+02:00

D. h(t) = -16(t - 5)² + 403 could be used to model this situation.

A baseball is hit from an initial height of 3 feet.

The baseball reaches a maximum height of 403 feet.

Here, h(t) indicates the height in feet after t seconds.

At the start, t = 0 & Initial height = 3 feet ,i.e. h(0) = 3

We have to verify options by putting t = 0

A. h(t) = -16(t - 403)² + 3

So, h(0) = -16(0-403)² + 3 = -16(-403)² +3 = -2598544+3 = -2598541

B. h(t) = -16(t - 5)² + 3

So, h(0) = -16(0-5)² + 3 = -16(-5)² + 3 = -400+3 = -397

C. h(t) = -16(t - 3)² + 403

So, h(0) = -16(0-3)² + 403 = -16(-3)² + 403 = -144 + 403 = -259

D. h(t) = -16(t - 5)² + 403

So, h(0) = -16(0-5)² + 403 = -16(-5)² + 403 = -400 + 403 = 3

Hence, in this function h(0) = 3 verified.

Therefore h(t) = -16(t - 5)² + 403 is the required function.

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