Answer to Question #102999 in Mechanics | Relativity for Nyx

Question

The displacement in simple harmonic motion
is maximum when the
1. velocity is zero.
2. kinetic energy is a maximum.
3. acceleration is zero.
4. velocity is a maximum.
5. linear momentum is a maximum.

Answer 1

The displacement in simple harmonic motion is maximum when the  velocity is zero. 

From the conservation of energy:

$$0.5mv^2+0.5kx^2=const$$

To maximize displacement we need zero velocity.

Answer: 1. velocity is zero.