26) A blue horse on a carousel rises 1.5 feet and falls back down again exactly

Question

26) A blue horse on a carousel rises 1.5 feet and falls back down again exactly 8 times for each time the crousel goes around once. If the horse begins rising just when the carousel starts, how high will it be when the carousel is 2/3 the way around, and will it be going up or coming down? please help! will rate asap! 26) A blue horse on a carousel rises 1.5 feet and falls back down again exactly 8 times for each time the crousel goes around once. If the horse begins rising just when the carousel starts, how high will it be when the carousel is 2/3 the way around, and will it be going up or coming down? please help! will rate asap!

Explanation / Answer

at start (t = 0) the height y = 0, then up and down, ..., so y = 0.75 [1 - cos(2t/T)], where T is the period after 8T, it moves around once, so after t = (2/3) *(8T) = 16T/3 y = 0.75 [1 - cos(32/3)] = 0.75 [1 - cos(2/3)] = 1.125 ft t = 16T/3 = 5T + T/3, after 5T, it is at the bottom, after T/3, it is still rising, (after T/2, it begins going down) so after t, it is going up.

Related Questions

Navigate

• Browse (All)
• Browse 2
• Subjects

---

---

Integrity-first tutoring: explanations and feedback only — we do not complete graded work. Learn more.