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## Homework Statement

amplitude is kept at 4.0 cm and the vibration

frequency increased to 50 Hz. T

The particle passes through the origin at time t = 0.0 s, travelling in the +y-direction.

(i) At what time does the valve first pass through the position y = 3.0 cm?

(ii) What is the speed at this point?

(iii) What is the acceleration at this point?

(iv) At what positions will the valve have a speed of 6.0ms−1?

## Homework Equations

w= 2*pi*f

acceleration= -w^2*x

v= rw

## The Attempt at a Solution

w= 2*pi*f

= 2*50*pi= 100pi

acceleration= w^2*x

= 100pi*4= 400pi

dont know if this is correct?

also dont know how to get the time and postions part (i and iv)