From the top of a tower, \(80 \mathrm{m}\) high from the ground, a stone is thrown in the horizontal direction with a velocity of \(8 \mathrm{ms}^{-1}\). The stone reaches the ground after a time \(t^{\prime}\) and falls at a distance of " \(\mathrm{d}\) ' from the foot of the tower. Assuming \(g=10 \mathrm{m} / \mathrm{s}^{2}\), the time \(t\) and distance d are given respectively by

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.