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\nrectilinear motion example particle decelerating\n

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\nHere we've been given an equation describing the acceleration of a particle. Using only two formulas we can solve this problem: a = dv/dt and v = dx/dt. The problem is solved by pushing through the mathematics and plugging in boundary...\nHere we've been given an equation describing the acceleration of a particle. Using only two formulas we can solve this problem: a = dv/dt and v = dx/dt. The problem is solved by pushing through the mathematics and plugging in boundary conditions to solve for constants. The problem can be solved in other ways too! Notice you can use the chain rule: a = dv/dx * dx/dt = dv/dx * v. This is actually an easier way to find your position moved. Basically it doesn't matter how you solve the problem as long as you keep track of how you're applying the formulas at each step. Good luck!

As a final challenge to anyone interested: What is the final position of the particle?
Ans = 5.772m\n
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Resource Details

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Not yet Rated
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Media Length
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11:34
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Grade
Higher Ed
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Subjects
Science
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Instructional Videos
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Source:
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\nVirtually Passed\n\n
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Date
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2013
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Language
English
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For Teacher Use
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Fine Print: Educational Use
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Concepts

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motion, distance, seconds, time, meters, acceleration, linear motion
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Additional Tags

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rectilinear motion, boundary conditions, dx dt, hand side, proportionality constant, minus kv, minus kt, minus ke, meters cancel, constant, side, minus, formula, unit, tested, 2 seconds, 32 seconds, integral, problem, solve, 4 meters, 1 meters, equal, particle, equation
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Best For: Explaining a topic
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