1
0.5
(m) x
0.5
-0.5
-1
4
1.5
D
2.5
B
t (s)
The graph above shows the position of an object in simple harmonic motion as a function
of time.
What are the first two times after zero at which the object has its maximum acceleration?
t =
S
What is the absolute value of the maximum acceleration?
S
Hints: $|F| = ma$ and by Hooke's law $|F| = k\Delta x$. The period of a mass-spring system in SHM
is $T = 2\pi/\sqrt{(m/k)}$. Solve for $k/m$, then find $a$.
amax =
2
m/s²