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### 304-N: Kinematic Equations 9C: Acceleration to other graphs in two directions

• Topic Cluster: Kinematics
• Topic: Forward and Backwards Kinematics Quantitative
• Objective: Given an acceleration-time graph of an object moving in two different directions, draw a corresponding position-time graph and velocity-time graph; includes only constant acceleration motion
• Content:
• Level: 4

#### BACK to Ladder Forward and Backwards Kinematics Quantitative

A tennis ball is moving with a velocity of 20 m/s LEFT when it is hit with a racket. The racket is in contact with the ball for 20 milliseconds, and afterwards the ball moves with a velocity of 25 m/s RIGHT. Assume that, while in contact with the racket, the ball has a constant acceleration**.

1. Determine the magnitude and direction of the acceleration of the racket.
2. Draw a quantitative acceleration-time graph for the tennis ball for the period when it is in contact with the racket. Explicitly define anything that must be defined to properly explain this graph.
3. Draw a quantitative velocity-time graph for the tennis ball for the period when it is in contact with the racket.