Answer
a) $A=0.08m$
b) $\omega=1.57rad/s$
c) $k=1.97N/m$
d) $v=0m/s$
e) $a=0.2m/s^2$
Work Step by Step
a) Amplitude $A$ is the magnitude of the maximum or minimum displacement, so $A=0.08m$
b) From the graph, we can see that the motion finishes one revolution in $4s$, so $T=4s$. Therefore, $$\omega=\frac{2\pi }{T}=1.57rad/s$$
c) The spring constant $k$ can be found by $$\omega=\sqrt{\frac{k}{m}}$$ $$k=m\omega^2$$
The object's mass $m=0.8kg$, so $$k=1.97N/m$$
d) At $t=1s$, the object reaches its maximum displacement, so the object does not move at this point. Therefore, $v=0m/s$
e) Unlike $v$, when the object is at its maximum displacement, it also has maximum acceleration, so at $t=1s$, $$a_{max}=A\omega^2=0.2m/s^2$$
