A point starting with velocity 21 cm/s has time at time t seconds an acceleration 5-4t^{2} cm/s/s.  Show that it stops and reverses its direction of motion at the end of 3 seconds, and find how far it is then from the starting point.

Source: Rosenberg, R.L. (1984). Elementary Calculus: Course Notes. Ottawa, Canada: Holt, Rinehart and Winston. (Exercise 6: Question 3(i), p. 21)

Author: ascklee

Dr. Lee teaches at the Wee Kim Wee School of Communication and Information at the Nanyang Technological University in Singapore. He founded The Mathematics Digital Library in 2013.

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