AST101H1 Midterm: Review Study Notes

A particle oscillates with simple harmonic motion along thex-axis
the displacement varies with time according to the question

x = 3*cos(16t+ Î /3)

(i) determine the amplitude
ive found to be 3

(ii) determine the frequency of the oscillation
i got to be 2.55hz

(iii) determine the displacement of the particle when t = 0

(iv) determine the velocity of the particle when t = 0

(v) determine the acceleration for the particle when t= 0

i cant get the last 3
the answers are :
(iii) 1.5
(iv)-41.6
(v)-384

1. Electic energy delivered to a circuit by a power supply canbecalculated using the expression:

At t = 0, a particle moving in the xy plane with constantacceleration has a velocity of vi = (3.00 i - 2.00 j) m/s and is atthe origin. At t = 2.80 s, the particle's velocity is v = (8.00 i +5.00 j) m/s.

(a) Find the acceleration of the particle at any time t. (Use t, i,and j as necessary.)
..........................................................m/s2
(b) Find its coordinates at any time t.
x = ........................................... i m
y = ............................................ j m