Suppose the position of an object at time t is
(6 + 5t, 2t2, 7t − 5t3).
(a) What is the instantaneous velocity at time t?
(b) What is the acceleration at time t?
(c) What is the instantaneous velocity at time
t = 0?
(d) What is the acceleration at time
t = 0?
I know that v=dr/dt= d/dt(x,y,z). I do not understand how to find the instantaneous velocity without a line or time.
I also know that the instantaneous acceleration a=dv/dt.