The position function x= (6.0m) `cos [(3pi "rad"//s) t+ pi//3" rad"]` gives the simple harmonic motion of a body. At t=21s, what are the (a) displacement, (b) velocity, (c ) acceleration, and (d) phase of the motion? Also, what are the (e ) frequency and (f) period of the motion?

Explanation

(a) `-2.4m`, (b) `-52m//s`, (c ) `-2.2 xx 10^(2)m//s^(2)`, (d) `~~21` rad (e ) 1.5Hz, (f) `~~0.67s`