Answer:
the question is incomplete, below is the complete question
"An object is undergoing simple harmonic motion along the x-axis. Its position is described as a function of time by x(t) = 5.5 cos(4.4t - 1.8), where x is in meters, the time, t, is in seconds, and the argument of the cosine is in radians.
a.What is the object's velocity, in meters per second, at time t = 2.9?
b.Calculate the object's acceleration, in meters per second squared, at time t = 2.9.
c. What is the magnitude of the object's maximum acceleration, in meters per second squared?
d.What is the magnitude of the object's maximum velocity, in meters per second?"
a.
b.
c.
d.
Explanation:
the gneral expression for the displacement of object in simple harmonic motion is represented by
while the velocity is express as
and the acceleration is
Note: the angle is in radians
The expression for the displacement from the question is
comparing, A=5.5, <em>w=4.4,α=1.8</em>
a.To determine the object velocity at t=2.9secs,
we substitute for t in the velocity equation
b.To determine the object acceleration at t=2.9secs,
we substitute for t in the acceleration equation
c. The acceleration is maximum when the displacement equals the amplitude. hence magnitude of the object acceleration is
d.The maximum velocity is expressed as