Question

A car’s position as a function of time is given by the following equation: x(t) =...

  1. A car’s position as a function of time is given by the following equation:
  • x(t) = 5 m/s t + 2.8 m/s2t2– 0.15 m/s3t3.
  1. Find the average velocity from 0 to 5 s.
  2. Find the instantaneous velocity at 0, 3, and 5 s.
  3. Find the average acceleration from 0 to 5 s.
  4. Find the instantaneous acceleration at 0, 3, and 5 s.
  5. At what POSITIVE time does the car come to rest?

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Answer #1

Velocity = dx/dt

Acceleration = dv/dt

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