Question

A child is swinging on a swing with a constant amplitude of $1.2m$. What total distance does the child move through horizontally in 3 cycles?

• A. $4.8m$
• B. $9.6m$
• C. $14.4m$
• D. $24m$

Answer 1

The correct option is C $14.4m$

Amplitude is the maximum displacement or distance moved by a point on a vibrating body or wave measured from its equilibrium position. It is equal to one-half the length of the vibration path.
In one swing cycle the child moves $41.2m=4.8m$.
In 3 swing cycles the child moves $3\times 4.8m=14.4m$.
Hence, the child moves $14.4m$ in $3$ swing cycles.