Can Isabella spray Ferdinand if the water is flowing at 3.5 meters per second?
Isabella will not be able to spray Ferdinand.
Calculation and Explanation:
Given Data:
Isabella's height holding the hose = 1.0 meters
Distance between Isabella and Ferdinand = 10.0 meters
Water speed from the hose (v₀) = 3.5 meters per second
Acceleration due to gravity (g) = 9.8 m/s²
Calculating Time for Water to Reach Ground:
Using the formula h = ½gt², where h is the height and t is the time.
1 = ½ × 9.8 × t²
1 = 4.9 × t²
Dividing by 4.9, we get t² = 1/4.9
Taking square root, t = √(1/4.9) = 0.45 seconds
Calculating Horizontal Distance of Water:
Using the formula s = ut, where u is the velocity and t is the time.
Horizontal velocity (u) = 3.5 m/s
s = 3.5 × 0.45 = 1.58 meters
Comparison of Water Distance and Ferdinand's Position:
Water distance = 1.58 meters
Ferdinand's position = 10 meters
Since the water travels a distance of 1.58 meters and Ferdinand is at 10 meters away, Isabella will not be able to spray Ferdinand with the water hose. The horizontal distance the water covers is not enough to reach Ferdinand's position.