8.3 Integration in Kinematics Linear Motion
acceleration function, a of a particle that moves linearly can be obtained by differentiating the velocity function, v with respect to time. t, that is:
When the acceleration function
the velocity function, v can be determined by
integrating the acceleration function, a with respect to time, t which is dt.
In general, the relationship between acceleration function, a = h(t) and velocity function,
v = g(t) can be simplified as follows: