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**1. The problem statement, all variables and given/known data**

A 0.500 kg mass is suspended from a spring and set into

oscillatory motion. A motion detector is used to record the motion, and it is found that its velocity function is given by V

_{x}(t) What are:

a. the period of the motion;

b. the amplitude;

c. the maximum acceleration of the mass; and

d. the force constant of the spring?

**2. Relevant equations**

given

V

_{x}(t)=-ωAsin(ωt+[itex]\phi[/itex])

not given but seems like the way I need to head

F

_{spring}=-k[itex]\Delta[/itex]y

T=2pi[itex]\sqrt{m/k}[/itex]

**3. The attempt at a solution**

Did FBD where F

_{spring}=-k[itex]\Delta[/itex]y is straight up and weight=4.9N goes straight down. Giving Fnet

_{y}=

K[itex]\Delta[/itex]L-mg=0

K[itex]\Delta[/itex]L=mg? can I make this assumption or am I missing something?

Also I have three unknowns k,[itex]\Delta[/itex]L, T and cant find another equation to substitute into for third variable. I just need to know if I am heading in the right direction for this problem.

**1. The problem statement, all variables and given/known data**

**2. Relevant equations**

**3. The attempt at a solution**