A soccer ball of mass 250 g is moving horizontally to the left with a speed \(22 \mathrm{~ms}^{-1}\). This ball is kicked towards right with a velocity \(30 \mathrm{~ms}^{-1}\) at an angle \(53^{\circ}\) with the horizontal in upward direction. Assuming that it took 0.01 s for the collision to take place, the average force acting is \(\left(\cos 53^{\circ}=\frac{3}{5} ; \sin 53^{\circ}=\frac{4}{5}\right)\)

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.