consider-a-horse-on-a-merry-go-round-moving-along-a-circular-path-in-the-vertica

Question

Consider a horse on a merry-go-round moving along a circular path in the vertical plane. The position is given by ﻿r⃗=(5.0 m)cos⁡[(2.0rad/s)t]i^+(5.0 m)sin⁡[(2.0rad/s)t]j^\vec{r}=(5.0 \mathrm{~m}) \cos [(2.0 \mathrm{rad} / \mathrm{s}) t] \hat{i}+(5.0 \mathrm{~m}) \sin [(2.0 \mathrm{rad} / \mathrm{s}) t] \hat{j}r=(5.0 m)cos[(2.0rad/s)t]i^+(5.0 m)sin[(2.0rad/s)t]j^​﻿, where r is in meters, and t is in seconds. Determine the horse's acceleration vector.

Accepted Answer

﻿a⃗=−4.0r⃗\vec{a}=-4.0 \vec{r}a=−4.0r﻿

Answer

﻿a⃗=−2.0r⃗\vec{a}=-2.0 \vec{r}a=−2.0r﻿

Answer

﻿a⃗=−4.0i^−4.0j^\vec{a}=-4.0 \hat{i}-4.0 \hat{j}a=−4.0i^−4.0j^​﻿

Answer

﻿a⃗=4.0r⃗\vec{a}=4.0 \vec{r}a=4.0r﻿