# What is the instantaneous velocity of an object moving in accordance to # f(t)= (sin(t+pi),sin(2t-pi/4)) # at # t=(-pi)/3 #?

##### 1 Answer

Jan 20, 2016

Given equation can be re-written as a x as a function of time in a cartesian system, that is

Differentiating with respect to time, we get the instantaneous velocity of the object at time

So,

So,

At

So, velocity of the object at time

Try to find the magnitude as an exercise.