Question

Describe the motion of a particle with position as t varies in the interval

Answer 1

Answer:

See explanation

Explanation:

cosπt=x−52 and sinπt=y−32
∴(x−52)2+(y−32)2=cos2πt+sin2πt=1
for t=1, x=3 and y=3. That makes for (3,3)
for t=2, x=7 and y=3. That makes for (7,3)
Based on Wolfram Alpha, the particle moves counterclockwise in a circular manner from (3,3) to (7,3).
Slader



Ultrilliam

May 17, 2018

Answer:

In cartesian: circle with centre (5,3), radius 2
Period T=2.

Explanation:

Set it up for the Pytharorean identity like this:

x=