A speedboat is cruising at a speed of 12.0 m/s in still water when it shuts off its engines and coasts to rest. The water exerts drag forces on the speedboat such that its speed during coasting is given by v = v,e-ct, where v is the speed at time t, v; is the initial speed at t = 0, and c is a constant. At a time of t = 21.0 s after the engines are cut, the speed is 5.00 m/s. (a) What is the constant c (ins-1) in the expression? s-1 (b) What is the speed (in m/s) at t = 40.0 s? m/s

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A speedboat is cruising at a speed of 12.0 m/s in still water when it shuts off its engines and coasts to rest. The water exerts drag forces on the speedboat such
that its speed during coasting is given by v = v,e ct, where v is the speed at time t, v; is the initial speed at t = 0, and c is a constant. At a time of t = 21.0 s after
the engines are cut, the speed is 5.00 m/s.
(a) What is the constant c (in s1) in the expression?
s-1
(b) What is the speed (in m/s) at t = 40.0 s?
m/s
Transcribed Image Text:A speedboat is cruising at a speed of 12.0 m/s in still water when it shuts off its engines and coasts to rest. The water exerts drag forces on the speedboat such that its speed during coasting is given by v = v,e ct, where v is the speed at time t, v; is the initial speed at t = 0, and c is a constant. At a time of t = 21.0 s after the engines are cut, the speed is 5.00 m/s. (a) What is the constant c (in s1) in the expression? s-1 (b) What is the speed (in m/s) at t = 40.0 s? m/s
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