Question Solved1 Answer Suppose the distance s (in feet) covered by a car moving along a straight road after t sec is given by the function s = f( t) = 5 t 2+ 17 t. Calculate the (instantaneous) velocity of the car when t= 27. a. 22 ft/sec b. 287 ft/sec c. 4104 ft/sec d. 594 ft/sec

HU6EFI The Asker · Calculus
Transcribed Image Text: Suppose the distance s (in feet) covered by a car moving along a straight road after t sec is given by the function s = f( t) = 5 t 2+ 17 t. Calculate the (instantaneous) velocity of the car when t= 27. a. 22 ft/sec b. 287 ft/sec c. 4104 ft/sec d. 594 ft/sec
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Transcribed Image Text: Suppose the distance s (in feet) covered by a car moving along a straight road after t sec is given by the function s = f( t) = 5 t 2+ 17 t. Calculate the (instantaneous) velocity of the car when t= 27. a. 22 ft/sec b. 287 ft/sec c. 4104 ft/sec d. 594 ft/sec
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Step 1The distance of the particle is given by the function s=5t^(2)+17 t.Step 2Differentiate s with respect to t as follows:{:[v(t)=(ds)/(dt)],[=(d)/(dt)(5t^(2)+17 t)],[=10 t+17]:}The formula for instan ... See the full answer