1-D Kinematics: Audio Guided Solution

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Mechanics: 1-Dimensional Kinematics

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1-D Kinematics: Audio Guided Solution

Problem 16:

After a long soccer practice down at the neighborhood soccer fields, Suzie begins walking up the steep hill towards her home. She gives her soccer ball a kick up the hill and continues walking towards it, meeting the ball as it is rolling back down. The velocity-time graph below depicts the motion of the ball. Use the graph to answer the following questions.

a. At what time did the ball change directions and begin rolling back down the hill?
b. What is the acceleration of the ball as it rolls up the hill? down the hill?
c. How far up the hill did the ball roll before it began to roll back down?
d. Determine the total distance traveled by the ball during the 5.00 seconds - both the distance up the hill and down the hill.
e. How far up the hill did Suzie walk between the time when she kicked the ball and the time she met up with the ball (at 5.0 seconds)?

Audio Guided Solution

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a. 3.00 s
b. -4.00 m/s/s
c. 18.0 m
d. 26.0 m
e. 10.0 m

Habits of an Effective Problem Solver

Read the problem carefully and develop a mental picture of the physical situation. If necessary, sketch a simple diagram of the physical situation to help you visualize it.
Identify the known and unknown quantities in an organized manner. Equate given values to the symbols used to represent the corresponding quantity - e.g., v_o = 0 m/s; a = 4.2 m/s/s; v_f = 22.9 m/s; d = ???.
Use physics formulas and conceptual reasoning to plot a strategy for solving for the unknown quantity.
Identify the appropriate formula(s) to use.
Perform substitutions and algebraic manipulations in order to solve for the unknown quantity.

Read About It!

Get more information on the topic of Kinematics at The Physics Classroom Tutorial.

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