A block attached to a horizontal ideal spring oscillates with amplitude and time period

PHYSICS · Single correct · A Level · Physics · Further mechanics and thermal physics · Further mechanics and thermal physics

Problem

A block attached to a horizontal ideal spring oscillates with amplitude

0.10\,\text{m}

and time period

0.50\,\text{s}

. At

t=0

, it passes through the equilibrium position moving towards the positive extreme. Determine the displacement

x

, velocity

v

, and acceleration

a

of the block at

t=0.125\,\text{s}

. (a)

x=0.10\,\text{m},\; v=0\,\text{m/s},\; a=+15.8\,\text{m/s}^2

(b)

x=0.10\,\text{m},\; v=0\,\text{m/s},\; a=-15.8\,\text{m/s}^2

(c)

x=0\,\text{m},\; v=1.26\,\text{m/s},\; a=0

(d)

x=0.05\,\text{m},\; v=1.26\,\text{m/s},\; a=-7.9\,\text{m/s}^2