Answer: [tex]18 m/s^{2}[/tex]
Explanation:
According to Newton's second law of motion, the force [tex]F[/tex] exerted on an object (the basketball in this case) is directly proportional to its mass [tex]m[/tex] and acceleration [tex]a[/tex] :
[tex]F=m.a[/tex] (1)
Where:
[tex]F=10.8 N[/tex] is the exerted force
[tex]m=0.6 kg[/tex] is the mass of the basketball
[tex]a[/tex] is the acceleration
Isolating [tex]a[/tex]:
[tex]a=\frac{F}{m}[/tex] (2)
Solving the equation with the given data:
[tex]a=\frac{10.8 N}{0.6kg}[/tex] (3)
[tex]a=18 m/s^{2}[/tex] (4) This is basketball's acceleration