Question

The world's highest shooting water fountain is located in fountain hills Arizona. the water rises to a height of 171 meters. A) what is the initial speed of the water? B) how much time does it take for the water to reach the highest point?

Answer 1

A) 57.92 m/s. Using the kinematic equation: v(final)^2 = v(initial)^2 + 2*g*y; v(final) = 0 at max height, g = -9.81m/s^2, y = 171 m. Thus, v(initial) = 57.92 m/s. B) 5.90 seconds. Using the kinematic equation: v(final) = v(initial) + g*t; t = time of travel. Substituting all known values to the equation and solving for the unknown, 't' would result to 5.90 seconds.