a. The amplitude.

2.5

b. The frequency.

omega = 2 pi Freq = 6

freq = 6 / 2 pi

c. The maximum and minimum speed

min speed = 0

to find max speed take the first derivative of the position

x = A cos w t

velocity = dx/dt = - A w sin wt

max speed occurs when sin wt = 1

there fore absolute value max speed = a w = 2.5 x 6 = 15

d. The maximum acceleration

to find max acceleration take the derivative of the velocity equation

velocity v = - A w sin wt

acceleration = dv /dt = - A w^2 cos wt

max acceleration occurs when cos wt = 1

therefore max acceleration = A w^2 = 2.5 x 6^2 = 90

a. The amplitude

2.5

b. The frequency

6.0