What is the relation between speed-acceleration and time?

Answer 1

acceleration = the change in speed over time, assuming a linear motion.

For example, the speed is 5 [m/s] at t = 0 and 100 [m/s] at t = 2 [min]. The average acceleration = (100 - 5) [m/s]/(2*60) [s] = 0.792 [m/s2].

When vectors are involved (a roller coaster ride or merry-go-round), the calculations will be a little more complicated, but the expression is very similar: A = (V2-V1)/(t2-t1), where A = the average acceleration vector; Vi = the velocity vector at time i. For the instantaneous acceleration, A = dV/dt. Please see the related link.

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