Object Oscillation: Vmax & Amax Known

[Student3.41]

Homework Statement

An object attached to a horizontal spring is oscillating back and forth along a frictionless surface. The maximum speed of the object is 1.11 m/s, and its maximum acceleration is 6.65 m/s2. How much time elapses between an instant when the object's speed is at a maximum and the next instant when its acceleration is at a maximum

Homework Equations

The Attempt at a Solution

Not sure where to start

 

[CheckMate]

You can use equation for a simple harmonic motion (distance as a cosine or sine function), and keep differentiating it to find the time of maximum speed and acceleration.

 

[cupid.callin]

or use energy conservation

at which position do you think speed and acc. be max

 

[Student3.41]

Still not getting it..

 

[Student3.41]

or use energy conservation

at which position do you think speed and acc. be max

Vmax will occur when x=0

Amax will occur when V=0

 

[gneill]

Vmax will occur when x=0

Amax will occur when V=0

V is not a position.

 

[Student3.41]

V is not a position.

well Amax will occur at xmax

 

[cupid.callin]

Jow can you write the energies of body at x=0 and x=max?

 

[gneill]

well Amax will occur at xmax

Yes, and what position is that, where position means angle(s).

 

[Student3.41]

Still not understanding can you lay it out a bit

 

[gneill]

In simple harmonic motion the displacement follows a sine (or cosine, your choice) function. You should have seen this in class or in your text.