The position of an object moving along a line is given by #p(t) = 2t - sin(( pi )/6t) #. What is the speed of the object at #t = 4 #?
Speed at t = 4:
If we are given position as a function of time, then the function for speed is the differential of that position function.
• Differential of
Now substitute in the value of t to find the value of speed at that time (t = 4):