(Solved): The four-wheeler shown in (Figure 1) has a weight of 335lb and a center of gravity at G1, wherea ...

The four-wheeler shown in (Figure 1) has a weight of $335\mathrm{lb}$ and a center of gravity at $G_1$, whereas the rider has a weight of $150\mathrm{lb}$ and a center of gravity at $G_2$. It the coetficient of static triction between the rear wheels and the ground is ${?}_3=0.32$, determine the greatest acceleration the vehicle can have withont tipping over. The front wheels are tree to roll. Neglect the mass of the whoels in the calculation. Express your answer in feet per second squared to three significant figures.