Coasting due West on your bicycle at 9.6 m/s, you encounter a sandy patch of road 6.7m across. When you leave the sandy patch your speed has been reduced by 3.8m/s to 5.8 m/s. Assuming the sand causes a constant acceleration, what was the bicycle’s acceleration in the sandy patch? Give both the magnitude and direction. How long did it take to cross the sandy patch? Suppose you enter the sandy patch with a speed of only 7.6 m/s. Is your final speed in this case 3.4m/s, more than 3.4m/s, or less than 3.4 m/s? Explain.

Principles of Physics: A Calculus-Based Text
5th Edition
ISBN:9781133104261
Author:Raymond A. Serway, John W. Jewett
Publisher:Raymond A. Serway, John W. Jewett
Chapter2: Motion In One Dimension
Section: Chapter Questions
Problem 40P: An object is at x = 0 at t = 0 and moves along the x axis according to the velocitytime graph in...
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Coasting due West on your bicycle at 9.6 m/s, you encounter a sandy patch of road 6.7m across. When you leave the sandy patch your speed has been reduced by 3.8m/s to 5.8 m/s. Assuming the sand causes a constant acceleration, what was the bicycle’s acceleration in the sandy patch? Give both the magnitude and direction. How long did it take to cross the sandy patch? Suppose you enter the sandy patch with a speed of only 7.6 m/s. Is your final speed in this case 3.4m/s, more than 3.4m/s, or less than 3.4 m/s? Explain.
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