Velocity and Acceleration: Quiz

Problem 1

A rocket is launched upward from ground level with an initial speed of 490 meters per second so that its height y in meters after t seconds is given by the equation

  1. Find an equation for the velocity of the rocket.
  2. When is the velocity equal to zero?
  3. What is the height of the rocket when its velocity equals zero?

Answers, problem 1

  1. v(t) = 490 – 9.8t
  2. We equate v(t) to 0 to get t = 50 seconds
  3. We plug t = 50 seconds into y(t) to get y(50) = 12250 meters

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