Question

water shoots from the mouth of a tall gargoyle fountain straight into the air with an initial velocity of 37 feet per second. It take the water 5 seconds to travel through the air and actually falls past the point from which it came, splashing down onto the ground. how tall is the fountains mouth

Answer 1

question is: how high is the mouth, not how tall.

height x from ground is given by

h(t) = x + 37t - 16t^2
h(5) = 0

0 = x + 37(5) - 16(25)
x = 43(5) = 215