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Cerrena [4.2K]
4 years ago
12

How high should the engineer make the hill?

Mathematics
1 answer:
iogann1982 [59]4 years ago
4 0

Answer: The height of hill is 125 feet.

Step-by-step explanation:

Given that velocity of the rollercoaster is v= \sqrt{(v_\limit{0}^{2} )+64h}

Where, v_\limit{0} is initial velocity and h is height from top of hill.

and v is velocity at height h.

Initial Velocity v_\limit{0} is 10feet/sec at top of hill.

Also, Velocity at bottom of the hill is 90feet/sec.

Therefore, the value of h at top of the hill is h=0 and value of h at bottom of the hill is h=h

v= \sqrt{(v_\limit{0}^{2} )+64h}

90= \sqrt{(10)^{2} +64h}

90^{2}= 10^{2} +64h

8100=100+64h

8000=64h

h=125 feets.

Thus, The height of hill is 125 feet.

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