In the nested-pulley system shown, the vertical displacement of block A is y=t²/4 metre. Find the downward acceleration of block B in m s⁻².

Question

G1 Physics · Accepted Answer

aₐ=d²y/dt²=1/2 m s⁻². The string constraint gives vᵦ=8vₐ and therefore aᵦ=8aₐ=4 m s⁻².