7 Position and velocity of a car

7 Position and velocity of a car - Next: Velocity of a...

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Next: Velocity of a falling Up: Velocity and Acceleration: Put Previous: Velocity and Acceleration: Put Position and velocity of a car Example In driving in a straight line from New York to Boston, your position function given in miles from New York is described by the function: where t is the number of hours since the trip began. It takes you 8 hours to get to Boston. a) Find your velocity at time t = 1/2 hrs. b) Do you ever backtrack during the trip? Solution to a): First, we find your velocity function at any time by differentiating your position function. v ( t ) = f '( t ) = 5 t 2 - 50 t + 120. Then, to find your velocity after half an hour, we just plug 1/2 into the velocity function. Hey, it sounds high but a lot of states have upped their speed limits. Solution to b) (Do you backtrack?): Yes you do. It seems you left your favorite Mets baseball cap at the rest stop when you took it off to check your thinning hair in the mirror. Passing
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7 Position and velocity of a car - Next: Velocity of a...

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