rectilinear motion example particle decelerating

The video tutorial explains a motion problem involving a particle decelerating along a straight line. The problem is modeled using the equation of acceleration as a function of velocity. The tutorial provides a practical example using a runner to illustrate the concept. It then walks through solving the problem using integration and boundary conditions to find the time and distance when the velocity is a fraction of its initial value. Key mathematical skills such as integration and differentiation are applied throughout the solution.

How is the integration constant C determined in the context of this problem?

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What is the final equation that describes the motion of the particle?

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Calculate the time when the velocity is 0.4 meters per second.

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What is the distance traveled by the particle when its velocity is 0.4 meters per second?

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