Question 154108This question is from textbook elementary and intermediate algebra
: #67. I am not sure how to proceed can you help? Skydiving. If there were no air resistance, then the height (in feet) above the earth for a sky diver t seconds after jumping from an airplane at 10,000 feet would be given by h(t) = -16t^2 + 10,000. a) Find the time it would take to fall to earth with no air resistance, that is, find t for which h(t) = 0.A skydiver actually gets about twice as much free fall time due to air resistance. b) Use the accompanying graph to ddetermine whether the skydiver (with no air resistance) falls farther in the first 5 seconds or the last 5 seconds of the fall. c) Is the diver's velocity increasing or decreasing as she falls? The graph shows a curved line from the top (left 10 down to 25 with Height(thousands of feet on left of graph and Time (seconds) at the bottom of graph.
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Please help thank you.
This question is from textbook elementary and intermediate algebra
Answer by stanbon(75887)   (Show Source):
You can put this solution on YOUR website! If there were no air resistance, then the height (in feet) above the earth for a sky diver t seconds after jumping from an airplane at 10,000 feet would be given by h(t) = -16t^2 + 10,000.
a) Find the time it would take to fall to earth with no air resistance, that is, find t for which h(t) = 0.A skydiver actually gets about twice as much free fall time due to air resistance.
EQUATION:
-10000 = -16t^2
t^2 = 10000/16
t = 100/4 = 25 seconds
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b) Use the accompanying graph to determine whether the skydiver (with no air resistance) falls farther in the first 5 seconds or the last 5 seconds of the fall.
It should show she falls farther in the last 5 seconds.
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c) Is the diver's velocity increasing or decreasing as she falls? The graph shows a curved line from the top (left 10 down to 25 with Height(thousands of feet on left of graph and Time (seconds) at the bottom of graph.
Ans: increasing.
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Cheers,
Stan H.
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