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liraira [26]
2 years ago
9

A dolphin jumps from the water at initial velocity of 16 feet per second. The equation h= -16t^2+80t models the dolphin's height

at any given time, t. what is the maximum height the dolphin jumps?
a) 1 foot
b) 5 feet
c) 96 feet
d) 100 feet
Mathematics
1 answer:
Travka [436]2 years ago
7 0

Answer:

d) 100 feet

Step-by-step explanation:

The x value of the vertex (highest point in this case) is found via -b/2a:

-80/-32 = 2.5

Plug 2.5 into the function:

h(2.5) = -16(2.5)² + 80(2.5)

= - 100 + 200 = 100

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<u>Example Problem</u>

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<u>Other Rules</u>

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<em>Comment on mechanics</em>

As you can tell from the attachments, it is convenient to let a graphing calculator or spreadsheet compute the sum. If you need to see the interval boundaries and the function values, a spreadsheet may be preferred.

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