1. Kinematics in Calculus

2. Recall  Displacement: The straight line distance from the start of an object’s path of motion to its finish.  Velocity: The rate of change of displacement with respect to time.  The first derivative of displacement w.r.t time.  Acceleration: The rate of change of velocity with respect to time.  The second derivative of displacement w.r.t time.

3. Example #1  A model rocket is launched vertically from a launch pad. It’s displacement (in m) with respect to time (in s) is given by: d(t) = -4.9t 2 + 20t +10. a) What is the acceleration of the rocket? b) What is the rocket’s maximum height? c) What is the impact velocity of the rocket?