Mechanics question from Cambridge 4u textbook (1 Viewer)

[James Smith The Third]

I don't know where to start with this question, any pointers would be greatly appreciated.

A particle is oscillating on the x-axis about the origin. It passes through the point A, where x = 0·01 metres, with speed 0·09 m/s and it passes through the point B, where x = −0·02 metres, with speed 0·06 m/s.
(a) Show that the amplitude of the motion is √ 10 125 metres.
(b) Show that the motion has period √ 2π 15 seconds.
(c) Find, correct to the nearest hundredth of a second, the time that the particle takes to move directly from A to B.

 

[CM_Tutor]

You have a situation where . By taking and noting that when , you can show that . You can then use the given data to find (the amplitude) and the period . The last part will require you to find an equation linking and , from which you should get (if you take the particle as being at the origin as ). You can then use the coordinates of A and B to find the answer to the last part.

 

[James Smith The Third]

You have a situation where . By taking and noting that when , you can show that . You can then use the given data to find (the amplitude) and the period . The last part will require you to find an equation linking and , from which you should get (if you take the particle as being at the origin as ). You can then use the coordinates of A and B to find the answer to the last part.

ok i was no aware of the v^2 formula. will attempt using this method. thanks for the help man!