Question

About once every 30 minutes, a geyser known as Old Faceful projects water 18.0 m straight up into the air. Use g = 9.80 m/s2, and take atmospheric pressure to be 101.3 kPa. The density of water is 1000 kg/m3. What is the speed of the water when it emerges from the ground?

Answer 1

Speed of the water that emerge out of the pipe is 18.8 m/s

Step-by-step explanation:

Since we know that water drops projected upwards to maximum height of 18 m

So here we can use kinematics equations here

`v_f^2 - v_i^2 = 2 a d`

here we have

`v_f = 0`

`d = 18 m`

`a = -9.80 m/s^2`

so we will have

`0 - v_i^2 = 2(-9.80)(18)`

`v_i = 18.8 m/s`