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i do not know how to determine the units of coefficent A. i have been given a formula: v(t) = A (1-e ^ - t/tmaxspeed), t is time in seconds, tmaxspeed is time to reach maximum speed in seconds and A is constant. i have been given the information that t (0-28 m/s) is 2.8s, t (400m) is 10.91s & tmaxspeed is 7.0s. I also have to identify the physical meaning of A; velocity of the car at t=0; derive an equation a(t) for the instantaneous acceleration of the car as a function of time? And then Identify the acceleration of the car at t = 0s and asymptote of this function as t → ∞?
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