The position of an object as a function of time is given by x= bt + ct3, where b = 1.50 m/s and c = 0.640m/s3. To study the limiting process leading to thedefinition of instantaneous velocity, calculate the averagevelocity of the object over time intervals from
(a) 1.00 s to 3.00s,
(b) 1.50 s to 2.50 s, and
(c) 1.95 s to 2.05 s.
Find theinstantaneous velocity as a function of time bydifferentiating.