Exam 4: Extension G: Applications of Differentiation

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What constant acceleration is required to increase the speed of a car from 20 ft/s to 45 ft/s in 4 s?

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9.17 ft/s2

Given that the graph of f passes through the point (4,69)and that the slope of its tangent line at Given that the graph of f passes through the point (4,69)and that the slope of its tangent line at   is   ,find f (1). is Given that the graph of f passes through the point (4,69)and that the slope of its tangent line at   is   ,find f (1). ,find f (1).

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C

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E

Find the position function of a particle moving along a coordinate line that satisfies the given conditions. Find the position function of a particle moving along a coordinate line that satisfies the given conditions.    ,s (0)= 5,v (0)= 0 ,s (0)= 5,v (0)= 0

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Find the most general antiderivative of the function. Find the most general antiderivative of the function.

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Find f. Find f.

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A car braked with a constant deceleration of 40 A car braked with a constant deceleration of 40   ,producing skid marks measuring 60 ft before coming to a stop.How fast was the car traveling when the brakes were first applied? ,producing skid marks measuring 60 ft before coming to a stop.How fast was the car traveling when the brakes were first applied?

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Find the position function of a particle moving along a coordinate line that satisfies the given condition. Find the position function of a particle moving along a coordinate line that satisfies the given condition.    ,s(1)= -1 ,s(1)= -1

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Find the most general antiderivative of the function. Find the most general antiderivative of the function.

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A particle is moving with the given data.Find the position of the particle. A particle is moving with the given data.Find the position of the particle.   ,  , A particle is moving with the given data.Find the position of the particle.   ,

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Find the most general antiderivative of the function. Find the most general antiderivative of the function.

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