3 Tutor System
Starting just at 265/hour

# A stone is dropped from the top of a tower 500 m high into a pond of water at the base of the tower. When is the splash heard at the top? Given, $$g = 10 m/s^2$$ and speed of sound = 340 m/s.

Height (s) of tower = 500 m

Velocity (v) of sound = 340 m/s

Acceleration (g) due to gravity = 10 m/s

Initial velocity (u) of the stone = 0

Time $$t_1$$ taken by the stone to fall to tower base

We know that, $$s= ut_1 + (½) g (t_1)^2$$

$$\Rightarrow 500 = 0 x t_1 + (½) 10 (t_1)^2$$

$$\Rightarrow (t_1)^2 = 100$$

$$\Rightarrow t_1 = 10 s$$

Time $$t_2$$ taken by sound to reach top from tower base =$$\frac{500}{340} = 1.47 \ s$$ .

$$\therefore t = t_1 + t_2$$

$$\Rightarrow t = 10 + 1.47$$

$$\Rightarrow t = 11.47 \ s$$.