The position of an object moving along a line is given by #p(t) = sin(3t- pi /4) +2 #. What is the speed of the object at #t = (3pi) /4 #?
Velocity of an object is the time derivative of it's position coordinate(s). If the position is given as a function of time, first we must find the time derivative to find the velocity function.
Differentiating the expression,
Now, by definition,