Question 203942: The cliff divers of Acapulco amaze tourists with their diving skills. The velocity v of a diver is a function of the time t the diver has fallen, v=2 feet per second when t=0 seconds and v=66 feet per second when t=2 seconds.
a. Write a linear function that represents the velocity v as a function of time t.
b. Interpret the slope of this function in the context of the problem.
c. Interpret the y-intercept of this function in the context of the problem.
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! The cliff divers of Acapulco amaze tourists with their diving skills. The velocity v of a diver is a function of the time t the diver has fallen, v=2 feet per second when t=0 seconds and v=66 feet per second when t=2 seconds.
Write a linear function that represents the velocity v as a function of time t
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Use the two points (0,2), and (2,66).
slope = (66-2)/2 = 32 per second
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intercept is v(0) = 2
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Equations:
v(t) = 32t + 2
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b. Interpret the slope of this function in the context of the problem.
slope is the increase in falling-velocity per second.
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c. Interpret the y-intercept of this function in the context of the problem
At time = 0 seconds the velocity is 2 feet per second.
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Cheers,
Stan H.
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