(Solved): The velocity versus time graph for a simple harmonic oscillator is shown in Figure 13-50. (a) What ...

The velocity versus time graph for a simple harmonic oscillator is shown in Figure 13-50.
(a) What are the maximum speed and the period?

(b) What is the amplitude?

(c) What is the phase constant?

(d) Write an equation for the oscillator that describes its velocity, ?(t), as a function of time.

(e) What is the velocity of the oscillator at t = 1.0 s?

(f) What is the position of the oscillator at t = 3.0 s?

 

All answers are correct, I just need the steps to c and d shown/explained

Also, if my phase constant is 3.14 in c), why don't I include it in the formula for d) 

- Please explain why that is happening. Thanks!

- \( \star \star \) The velocity versus time graph for a simple harmonic oscillator is shown in Figure 13-50. (a) What are the maximum speed and the period? Max Speed: \( \mathrm{m} / \mathrm{s} \) You are correct Period: \( \mathrm{S} \) You are correct (b) What is the amplitude? \( m \) You are correct (c) What is the phase constant? \( \operatorname{rad} \) You are correct (d) Write an equation for the oscillator that describes its velocity, \( v(t) \), as a function of time. \( \mathrm{v}(\mathrm{t})= \) \( \sin ( \) t) You are correct You are correct (e) What is the velocity of the oscillator at \( t=1.0 \mathrm{~s} \) ? \( \mathrm{m} / \mathrm{s} \) You are correct (f) What is the position of the oscillator at \( t=3.0 \mathrm{~s} \) ?