View the step-by-step solution to:

# 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[/2 (t 1)] + 1.8 where t 0 is time in...

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.

(c) Find h′(t) and evaluate h′(3.5) exactly. Is the horse moving up or down at t = 3.5 and why?

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

Hi there! I'm glad to be helping you out with this assignment, however, if something's not... View the full answer

a. period =1,... View the full answer

### Why Join Course Hero?

Course Hero has all the homework and study help you need to succeed! We’ve got course-specific notes, study guides, and practice tests along with expert tutors.

### -

Educational Resources
• ### -

Study Documents

Find the best study resources around, tagged to your specific courses. Share your own to gain free Course Hero access.

Browse Documents