When a skydiver jumps from an airplane his velocity V, in feet per second, increases toward a maximum of 175 feet per second. (This is terminal velocity.) The table below shows the difference
between the terminal velocity and the velocity after t seconds.
t 0 5 10 15 D 175.00 97.72 54.57 30.47?
A: Find an exponential model for the data. Be careful. The data are given in steps of 5 seconds. Round your answer to two decimal places, if necessery.B: Find a formula that gives the velocity V after t seconds. Round your answer to two decimal places, if necessery.C: Make a graph of V versus t over the first 10 seconds. Include the horizontal line representing the terminal velocity.E: According to the model, how long does it take for the skydiver to reach 92.00% of terminal velocity? Round your answer to two decimal places.
What will be an ideal response?
?
B:
?
C:
?
?
D: 21.67 seconds
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