A point moves in a straight line from rest so that its acceleration is 15-3t where t is the time in seconds from the start.  Prove that it next comes to rest again in 10 seconds and find the distance moved during this time.

Source: Rosenberg, R.L. (1984). Elementary Calculus: Course Notes. Ottawa, Canada: Holt, Rinehart and Winston. (Exercise 6: Question 3(ii), p. 22)

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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