Question

A body falls freely from the top of the tower and during the last second of its flight, it falls 16/25th of the whole distance. What is the height of tower?

(a) 10.2 m.

(b) 15.2 m.

(c) 31.25 m.

(d) 33 m

Answer 1

To find the height of the tower, we can use the equation h = (1/2)gt^2. Solving for h, we get h = 25g/32 meters.

Step-by-step explanation:

To find the height of the tower, let's assume the total height of the tower as 'h'. According to the given information, during the last second of its flight, the body falls 16/25th of the whole distance. This means it covers (9/25)h in the last second. Since the time for the last second is 1 second, we can use the equation h = (1/2)gt^2 to find the value of h. Solving for h, we get h = 25g/32, where g is the gravitational acceleration.

Therefore, the height of the tower is 25g/32 meters.