Question

The position of a particular particle as a function of time is given by r = ( 9.60ti + 8.85j - 1.00t^2 k)m, where t is in seconds.
a) Determine the particle's velocity as a function of time.
b) Determine the particle's acceleration as a function of time.
(Express both answers in terms of the unit vectors i, j, and k)

Answer 1

v = dr/dt, so just differentiate each component with respect to t
v=9.6 i - 2.00t k
a=dv/dt = -2.00 k

Answer 2

Well, it is correct as long as the coordinate system is not changing.