To solve this problem, we need to determine the maximum acceleration of the car such that the body on the floor remains stationary.$\\$Given:$\\$• Coefficient of static friction $\mu_s = 0.15 \\$• Acceleration due to gravity $g = 10 \,$m/s$^2 \\$The maximum static friction force $f_s$ that can act on the body is given by:$\\ f_s = \mu_s \cdot N \\$Where $N$ is the normal force. Since the body is lying on the floor, $N = m \cdot g. \\$Thus, the maximum static friction force is:$\\ f_s = \mu_s \cdot m \cdot g \\$This friction force provides the maximum possible horizontal force that can be exerted on the body without causing it to slide.$\\$According to Newton's second law, the maximum acceleration $a_{max}$ of the car is given by:$\\ f_s = m \cdot a_{max} \\$Substitute the expression for $f_s: \\ \mu_s \cdot m \cdot g = m \cdot a_{max} \\$Cancel $m$ from both sides (assuming $m \neq 0): \\ a_{max} = \mu_s \cdot g \\$Substitute the given values:$\\ a_{max} = 0.15 \cdot 10 \\ a_{max} = 1.5 \,$m/s$^2 \\$Therefore, the maximum acceleration of the car is $1.5 \,$m/s$^2$, which corresponds to Option 3.