Water is sent from a fire hose at 35 m/s at an angle of 30° above the horizontal.What is the maximum height reached by the water?
A) 8 m
B) 16 m
C) 31 m
D) 306 m
E) 62 m

Question

Water is sent from a fire hose at 35 m/s at an angle of 30° above the horizontal.What is the maximum height reached by the water?
A) 8 m
B) 16 m
C) 31 m
D) 306 m
E) ​62 m

Quizplus · Accepted Answer

The vertical component of the velocity is $ v_{y} = 35 \sin(30°) = 17.5 \, \text{m/s} $. Using the formula for maximum height $ h = \frac{v_{y}^2}{2g} $, where $ g = 9.8 \, \text{m/s}^2 $, we get $ h = \frac{(17.5)^2}{2 \times 9.8} \approx 15.625 \, \text{m} $, which rounds to 16 m.

Water Is Sent from a Fire Hose at 35 M/s