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## Homework Statement

Tom throws a football to Wes, who is a distance l away. Tom can control the time of flight t of the ball by choosing

any speed up to vmax and any launch angle between 0◦ and 90◦

. Ignore air resistance and assume Tom and Wes

are at the same height. Which of the following statements is incorrect?

(A) If vmax <√gl, the ball cannot reach Wes at all.

(B) Assuming the ball can reach Wes, as vmax increases with l held fixed, the minimum value of t decreases.

(C) Assuming the ball can reach Wes, as vmax increases with l held fixed, the maximum value of t increases.

(D) Assuming the ball can reach Wes, as l increases with vmax held fixed, the minimum value of t increases.

(E) Assuming the ball can reach Wes, as l increases with vmax held fixed, the maximum value of t increases.

## Homework Equations

## The Attempt at a Solution

I know that making the launch angle closest to 45 degrees and increasing the horizontal component of the velocity will reduce the time, but I don't know where to go from here.