A lawn sprinkler is constructed in such a way that d/dt is constant, where ranges between

A lawn sprinkler is constructed in such a way that dθ/dt is constant, where θ ranges between 45° and 135° (see figure). The distance the water travels horizontally is

where v is the speed of the water. Find dx/dt and explain why this lawn sprinkler does not water evenly. What part of the lawn receives the most water?

Transcribed Image Text:

X v² sin 20 32 45° 0 135°