1) The position of a mass point moving on a straight line is given by the following equation, x(t) = (t – 1)(t – 2)(t – 3), where t is time, measured in seconds, and x(t) is the position of the object at time t, measured in meters. a) At what time(s) is the velocity of the object equal to zero? [3 marks) b) At what time(s) is the acceleration of the object equal to zero? [2 marks]

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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1) The position of a mass point moving on a straight line is given by the following equation,
x(t) = (t – 1)(t – 2)(t – 3),
where t is time, measured in seconds, and x(t) is the position of the object at time t, measured in meters.
a) At what time(s) is the velocity of the object equal to zero? [3 marks)
b) At what time(s) is the acceleration of the object equal to zero? [2 marks]
Transcribed Image Text:1) The position of a mass point moving on a straight line is given by the following equation, x(t) = (t – 1)(t – 2)(t – 3), where t is time, measured in seconds, and x(t) is the position of the object at time t, measured in meters. a) At what time(s) is the velocity of the object equal to zero? [3 marks) b) At what time(s) is the acceleration of the object equal to zero? [2 marks]
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