Evalute a nonconstant acceleration: (This can approximate a car accelerrating fr

Question

Evalute a nonconstant acceleration: (This can approximate a car accelerrating from rest) The following boundary conditions apply: At t = 0, the velocity is zero, and the position is zero, Find the equation for the velocity as a function of time. Find the equation for the position as a function of time. Plot position, velocity, and acceleration versus time, from 0 to 5 seconds. (You can plot them individually, ut it's useful to plot them on a single graph. If you do plot all three on one graph, very carefully define the y-axis (vertical axis) and units as depending on which curve is being evaluated)

Explanation / Answer

a=5*e-kt dv/dt=a v=-5/k[e^-kt] v=-5/k(e-kt -1] v=10/3-10/3 e^-kt v=dx/dt x=10/3t+100/45e^-kt-100/45

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