In the figure shown, the mass of the trolley is 100 kg and it can move without friction on the horizontal floor. It length is 12 cm. The mass of the girl is 50 kg. Friction exists between is 12 m. The mass of the girl is 50 kg. Friction exists between the shoes of the girl and the trolley's upper surface, with `mu = 1//3`, The girl can run with a maximum speed `= 9 m//s` on the surface of the trolley, with respect to the surface `= 9 m//s` on the surface of thr trolley, with respect to the surface. At `t=0` the girlm starts running from left to the right. The trolley was initially stationary. `(g = 10 m//s^(2))`

Suppose the girl accelerates slowly, at a constant rate, and acquires the relative speed of `9 m//s` only when it reaches the right end of the trolley, then what must be the earth frame acceleration of the girl ?

Options

A. `2.5 m//s^(2)`
B. `2.25 m//s^(2)`
C. `1.125 m//s^(2)`
D. `3.375 m//s^(2)`

Answer

b