A horse on a merry-go-round moves in such a way that its height (in metres) above the

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A horse on a merry-go-round moves in such a way that its height (in metres) above the floor is h(t) = 0.8 sin[π/2 (t − 1)] + 1.8 where t ≥ 0 is time in seconds.

(a) Using the formula for h(t), find its period. Sketch the graph of h(t) for 0 ≤ t ≤ 12.

(b) Find the time at which the horse reaches its maximum height for the 15th time, showing the reasoning.

(d) Find the smallest value of t ≥ 0 for which h ′ (t) is a maximum, showing the working.

Related Book For answer-question

Calculus

ISBN: 978-0131429246

9th edition

Authors: Dale Varberg, Edwin J. Purcell, Steven E. Rigdon

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Posted Date: Oct 25, 2019 11:05 AM

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A horse on a merry-go-round moves in such a way that its height (in metres) above the

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PARTa The given function is Let T be the period then T 4 we can sketch the graph as follows ... View the full answer

Calculus

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