Question

A stone is dropped from the top of the tower and travels 24.5 m in the last second of its journey. The height of the tower is ______.

(g = 9.8 m/s²)

Options

• 44.1 m

• 49 m

• 78.4 m

• 72 m

Answer 1

A stone is dropped from the top of the tower and travels 24.5 m in the last second of its journey. The height of the tower is 44.1 m.

Explanation:

S_n (distance travel in last sec) = `g/2`(2n - 1)

S_n = 24.5 = `g/2`(2n - 1); n = 3 sec

S = `1/2g t^2 = 1/2 xx g(3)^2 = 43.60` m