1. The position of a particle moving in a straight line during a 5–second trip is...

1. The position of a particle moving in a straight line during a 5–second trip is s(t) = 2t² − 2t + 2 cm. Find a time t at which the instantaneous velocity is equal to the average velocity for the entire trip beginning at t = 0.

2. a) A particle moving along a line has position s(t) = t⁴ − 34t² m at time t seconds. At which non negative times does the particle pass through the origin? (Enter your answers as a comma-separated list. Round your answers to two decimal places.)

b) At which nonnegative times is the particle instantaneously motionless (that is, it has zero velocity)? (Enter your answers as a comma-separated list. Round your answers to two decimal places.)

3. The tangent lines to the graph of f(x) = 7x² grow steeper as x increases. At what rate do the slopes of the tangent lines increase?

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milcah answered 1 year ago

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