1. In Winter with heavy snow, the animals in Yellowstone cannot freely roam to f

Question

1. In Winter with heavy snow, the animals in Yellowstone cannot freely roam to find food, so hay is
dropped for them from helicopters. A helicopter is 180 feet above the ground drops a bale of hay while
the helicopter itself is rising at 32 feet per Second. The height (S) in feet of the bale as a function of
time is given by:
S(t)=-16t^2+ vi t + Si
where t is the time since the bale was dropped of f the helicopters (in seconds), Vi is initial velocity,
and Si is the initial height.
'a What is the height of the bale 2 seconds after it is released?
b. How many seconds will it take the bale to reach the ground?
c. When d~s the bale reach its maximwn height? What is the inaximum height?

Explanation / Answer

S(t)=-16t^2+ vi t + Si Si = Initial height = 180 ft t = Time vi = initial velocity = 32 feet per second a. What is the height of the bale 2 seconds after it is released? S(t) = -16(2)^2+ 32(2) + 180 S(t) = 180 feet

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