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A motion detector monitors the horizontal position of the end of a clock's pendulum, p(1), in metres, at time 1, in seconds and it shows that the position function can be modelled by the function p(t) = 0.1 cos 4tt 3. a) Determine the maximum speed achieved by the pendulum and the first time that it occurs. b) Determine the max rate of change of the velocity and the time it happens. Round values to 3 decimal places.

A motion detector monitors the horizontal position of the end of a clock's pendulum, p(1), in metres, at time 1, in seconds and it shows that the position function can be modelled by the function p(t) = 0.1 cos 4tt 3. a) Determine the maximum speed achieved by the pendulum and the first time that it occurs. b) Determine the max rate of change of the velocity and the time it happens. Round values to 3 decimal places.

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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A motion detector monitors the horizontal position of the end of a clock's pendulum, p(t), in metres, at time t, in seconds and it shows that the position function can be modelled by the function p(t) = 0.1 cos 4tt 3. a) Determine the maximum speed achieved by the pendulum and the first time that it occurs. b) Determine the max rate of change of the velocity and the time it happens. Round values to 3 decimal places.
Transcribed Image Text:A motion detector monitors the horizontal position of the end of a clock's pendulum, p(t), in metres, at time t, in seconds and it shows that the position function can be modelled by the function p(t) = 0.1 cos 4tt 3. a) Determine the maximum speed achieved by the pendulum and the first time that it occurs. b) Determine the max rate of change of the velocity and the time it happens. Round values to 3 decimal places.
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