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Basile [38]
3 years ago
12

You are riding a roller coaster when a shoe falls off your foot. The function y=300−16t2 represents the height y (in feet) of th

e shoe t seconds after it falls off your foot. The shoe lands on the top of an 11-foot-tall building. After how many seconds does the shoe hit the building?
Mathematics
1 answer:
Juli2301 [7.4K]3 years ago
8 0

Answer:

Time to land on 11ft is 4.25 seconds

Step-by-step explanation:

Given

y = 300 - 16t^2

Required

Solve for t when height is 11ft

This implies that y = 11

So: substitute 11 for y in y = 300 - 16t^2

11 = 300 - 16t^2

Collect Like Terms

16t^2 = 300 - 11

16t^2 = 289

Express both sides as squares

4^2 * t^2 = 17^2

(4t)^2 = 17^2

Take square roots of both sides (ignore negative)

4t = 17

Solve for t

t = \frac{17}{4}

t = 4.25

Hence, time to land on 11ft is 4.25 seconds

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