A heavy ball of mass M is suspended from the ceiling of a car by a light string of mass $m(m \ll M)$. When the car is at rest, the speed of transverse waves in the string is $60 \mathrm{~ms}^{-1}$. When the car has acceleration a, the wave-speed increases to $60.5 \mathrm{~ms}^{-1}$. The value of a, in terms of gravitational acceleration g , is closest to