If a skydiver jumps from an airplane, his velocity v, in feet per second, starts at 0 and increases toward terminal velocity. An average-size man has a terminal velocity T of about 176 feet per second. The difference D = T − v is an exponential function of time. a)Two seconds into the fall, the velocity is 54.76 feet per second. Find an exponential formula for D. (Round your coefficients to two decimal places. Use t, which is the time in seconds since the jump, as your variable.) (c) Find a formula for v. (Use t as your variable.)
If a skydiver jumps from an airplane, his velocity v, in feet per second, starts at 0 and increases toward terminal velocity. An average-size man has a terminal velocity T of about 176 feet per second. The difference D = T − v is an exponential function of time. a)Two seconds into the fall, the velocity is 54.76 feet per second. Find an exponential formula for D. (Round your coefficients to two decimal places. Use t, which is the time in seconds since the jump, as your variable.) (c) Find a formula for v. (Use t as your variable.)
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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If a skydiver jumps from an airplane, his velocity v, in feet per second, starts at 0 and increases toward terminal velocity. An average-size man has a terminal velocity T of about 176 feet per second. The difference D = T − v is an exponential function of time.
a)Two seconds into the fall, the velocity is 54.76 feet per second. Find an exponential formula for D. (Round your coefficients to two decimal places. Use t, which is the time in seconds since the jump, as your variable.)
(c) Find a formula for v. (Use t as your variable.)
Calculate that value. (Round your answer to two decimal places.)
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