Kinematics in Calculus. Recall  Displacement: The straight line distance from the start of an object’s path of motion to its finish.  Velocity: The.

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Presentation transcript:

Kinematics in Calculus

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.

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 t +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?