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Solve this problem and explain please! A particle is confined to move in one dim

ID: 2111795 • Letter: S

Question

Solve this problem and explain please!

A particle is confined to move in one dimension. For times t > 0 the particle's position is given by r rightarrow = R(1 - e-kappa t)r^ where R and kappa are constants with dimensions of length and inverse time, respectively. Note the particle only moves along a single, straight line. Determine the velocity and acceleration of the particle as functions of time. What are the limiting values of r, v, and a when t = 0 and as t rightarrow infinity? If R = 10 m and kappa = 0.25 s-l, what is the location of the particle when its acceleration has half the maximum magnitude? What is the speed of the particle at this location?

Explanation / Answer

v=dr/dt