Answer. The correct answer is [tex]2.5m/s^2.[/tex]
Explanation
In this problem, we are given that the mass of the man is 250kg and the net force on the man is 625N. To find the acceleration, we have to use Newton's second law of motion. Newton's second law of motion states that [tex]F=ma[/tex] ,where [tex]F[/tex] is the net force on the object, [tex]m[/tex] is the mass of the object and [tex]a[/tex] is the acceleration of the object. In simple terms, the law states that the force on an object is directly proportional to the mass.
To figure out the acceleration of a man sliding down the hill, we have to solve for the acceleration in Newton's second law. This operation is done as shown below,
[tex]F=ma\\=>a=\tfrac{F}{m}\\=>a=\frac{625N}{250m} \\=>a=2.5m/s^2[/tex]
