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12-36. A particle is moving with a velocity of u when 5 =
Chapter 12, Problem 12-36(choose chapter or problem)
12-36. A particle is moving with a velocity of u when 5 = 0 and t = 0. If it is subjected to a deceleration of a = -kiJ, where k is a constant, determine its velocity and position as functions of time.
Questions & Answers
QUESTION:
12-36. A particle is moving with a velocity of u when 5 = 0 and t = 0. If it is subjected to a deceleration of a = -kiJ, where k is a constant, determine its velocity and position as functions of time.
ANSWER:Step 1 of 5
The origin is at point O with positive motion to the right.Since the instantaneous acceleration is change of velocity per infinitesimal period of time, we can write the expression for as:
Replace by
Now we can multiply both sides of equation by
Step 2 of 5
Integrate both sides of equation to get:
Multiply both sides of equation by
Replace