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## Homework Statement

In a circus act, clowns are shot from a cannon at a constant speed vo = 11.1 m/s. The angle of launch may be varied. What is the maximum distance D that a clown may travel, if the landing pad is at the same height as the mouth of the cannon?

Knowns:

V

_{o}=11.1 m/s

x = 0

y = 0

V

_{2}=0

y

_{2}=0

## Homework Equations

V

_{x}= V

_{o}*cos(theta)

V

_{y}= V

_{o}*sin(theta)

Δy= V

_{o}sin(theta)Δt + .5aΔt^2

## The Attempt at a Solution

So I first solved for Δt,

Δy = 0 = (11.1)sin(theta) + (.5)(-9.8)Δt

Δt = (2(11.1)sin(theta))/9.8

Next I attempted to solve for Δx,

Δx = (11.1)cos(theta) * Δt

Substituting for Δt,

Δx = (11.1)cos(theta) * (2(11.1)sin(theta))/9.8

And I got lost D;!