Name: Date: Problem Solving Practice 1. Your younger sister is running at 2.0 m/s toward a mud puddle that is 6.0 m in front of her. You are 10.0 m behind her running at 5.0 m/s to catch her before she enters the mud. Will she need a bath? (Etkina pg. 16) a. Sketch and translate b. Simplify and diagram c. Represent mathematically d. Solve and evaluate 1 2. Suppose that you are sitting on a bench watching a cyclist riding a bicycle on a flat, straight road. In a 2.0-s time interval, the velocity of the bicycle changes from -4.0 m/s to -7.0 m/s. Describe the motion of the bicycle as fully as possible. (Etkina pg. 21) a. Sketch and translate b. Simplify and diagram c. Represent mathematically d. Solve and evaluate 2 3. The velocity-versus-time graph shown here represents a carâ€™s motion. What time interval is needed for the car to stop, and how far does it travel while stopping? (Etkina pg. 28) a. Sketch and translate b. Simplify and diagram c. Represent mathematically d. Solve and evaluate 3 4. You stand on a sidewalk and observe two friends walking at constant velocity. At time zero Jim is 4.0 m east of you and walking away from you at speed 2.0 m/s. At time zero, Sarah is 10.0 m east of you and walking toward you at speed 1.5 m/s. Represent their motions with an initial sketch, with motion diagrams, and mathematically. (Etkina pg. 25) a. Sketch and translate b. Simplify and diagram c. Represent mathematically d. Solve and evaluate 4 5. A woman jumps off a large boulder. She is moving at a speed of about 5 m/s when she reaches the ground. Estimate her acceleration during landing. Indicate any other quantities you used in the estimate. (Etkina pg. 23) a. Sketch and translate b. Simplify and diagram c. Represent mathematically d. Solve and evaluate 5 6. A process is represented mathematically by the following equation: x = (-60 m) + (10 m/s) t + (1.0 m/s2) t2 Use the equation to construct an initial sketch, a motion diagram, and words to describe a process that is consistent with this equation. (Etkina pg. 27) a. Sketch and translate b. Simplify and diagram c. Represent mathematically d. Solve and evaluate 6