Trying to understand how to get the answer to the following question. A particle moves so that its position (in meters) as a function of time (in seconds) is r = i +4t^2j +tk. Write expressions for (a) its velocity and (b) its acceleration as functions of time. Answer is (a) (8m/s^2)tj + (1m/s)k (b) (8m/s^2)j

Question

Trying to understand how to get the answer to the following question.  A particle moves so that its position (in meters) as a function of time (in seconds) is r = i +4t^2j +tk. Write expressions for (a) its velocity and (b) its acceleration as functions of time. Answer is (a) (8m/s^2)tj + (1m/s)k  (b) (8m/s^2)j

anonymous · Answer

you have to derivaderivate r w.r.t. t first derivative would be the answer of a). and the second derivatiive would be the answer of second.

anonymous · Answer

thanks