N amusement park water slide, people slide down an essentially frictionless tube. The top of the slide is 3.0m above the bottom where they exitthe slide, moving horizontally, 1.2mabove a swimming pool. What horizontal distance do they travel from the exit point before hitting the water

Horizontal distance will be 3.79 m

Explanation:

We have given h = 3 m

Acceleration due to gravity

From conservation of energy we know that

Now initial vertical velocity = 0 m/sec

Initial horizontal velocity = 7.66 m/sec

Now height h = 1.2 m

From second equation of motion

t = 0.494 sec

Now horizontal distance = Horizontal speed × time = 7.66×0.494 = 3.79 m