The velocity of a sky driver t seconds after jumping is given by v(t)=80(1−e-0.02t), measured in feet per second. After how many seconds is their velocity 70 ft/s?

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A: Given, v(t)=t3-2t2   Interval [a,b]=[-2,3]

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A: Given a particle that moves along a straight line has velocity v(t)=t2e-5t

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A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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Q: Water leaks from a tank at a rate of 2 + 5t liters/hour (L/h), where t is the number of hours after…

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Q: 1. If the motor on a motorboat is started at t = 0 and the boat consumes gasoline at the rate of 6 –…

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A: R(t)=t-t2+1

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Q: During a certain 12-hour period the temperature at time t (measured in hours from the start of the…

A: Disclaimer: Since you have asked multiple questions; we will solve the first question for you. If…

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A: An oral medication is absorbed into the bloodstream at the rate of 7e-0.04t.

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Q: An oil storage tank ruptures at time t =0 and oil leaksfrom the tank at a rate of r(t)  = 100e-0.01t…

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Q: A particle moving along a straight line has a velocity of v(t) = t² e-t feet per second after t sec.…

A: Given: A particle moving along a straight line has a velocity of v(t)=t2e-t feet per second after t…

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Q: Let H(t) be the amount of raw honey at time t. During processing, the amount of raw honey present…

A: Answer is mentioned below

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Q: The velocity, v m/s of a ball thrown directly up in the air is given by ? = 20 − 10?, where t is the…

A: Soln :-         V = 20-10t            The time (t) when V is between 5 and 15 m/s.…

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Q: If the velocity of a moving object is v (t)=t- 2 in meters per second, then what is its…

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Q: .A ball is thrown upward from a height of 15 feet with an initial upward velocity of 5 ft/sec. Use…

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Q: The position (in meters) of a particle moving along a straight line is given by s ( t ) = 4 t2 -10 t…

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Q: 2. Leanne is travelling at 13 km/hr. Fernando is moving at 3-5 m/s. Who is travelling faster?

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Q: Let H(t) be the amount of raw honey at time t. During processing, the amount of raw honey present…

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Q: At time t seconds, the center of a bobbing cork is 2sin(2t) centimeters above or below water level.…

A: ft=2sin2t Now velocity is the derivative of position with respect to time. So differentiating…