Exponential & Log Function Derivatives

Applications of Exponential & Log Function Derivatives

3. A particle moves along a straight line according to:

                    s = 2e^3t + 5e^-3t

    Find equations for the velocity and acceleration of the particle.

       Remember the relationships for velocity and acceleration:

                    v = ds/dt    and     a = dv/dt

        Then      v = ds/dt = 6e^3t –  15e^-3t

        And       a = dv/dt = 18e^3t + 45e^-3t

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