Question

Two children, Ferdinand and Isabella, are playing with awater hose on a sunny summer day. Isabella is holding the hose inher hand 1.0 meters above the ground and is trying to sprayFerdinand, who is standing 10.0 meters away.Part AWill Isabella be able to spray Ferdinand ifthe water is flowing out of the hose at a constant speed v0 of 3.5 meters per second? Assume that the hose is pointedparallel to the ground and take the magnitude of the accelerationgdue to gravity to be 9.81 meters per second, per second.

Answer 1

Answer:

x = 1.58 m , As this distance is much less than the distance to Ferdinand, it doesn't get wet

Explanation:

This problem can take a small amount of water as if it were a particular to analyze if it reaches where Ferdinand is (x = 10m), with this analysis we see that we can treat this problem as a projectile launch.

Let's look for the time it takes to reach the ground, the water initially comes out horizontally, so the initial vertical speed is zero (I go = 0)

    y = $v_{oy}$ t - ½ g t²

    y = 0 - ½ g t²

    t² = -2y / g

   

    t² = - 2 (-1.0) /9.81

    t = 0.452 s

with this time we calculate the horizontal distance traveled

    x = v₀ₓ t

    x = 3.5 0.452

    x = 1.58 m

As this distance is much less than the distance to Ferdinand, it doesn't get wet