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## Homework Statement

Golfer hits a golf ball so that it goes with initial velocity of 40 m/s at angle of 45 degrees. 100 m away is a lake that is 50 m wide. The ball will not bounce or roll when it lands. Where does the ball land?

Before, in, or after the lake.

## Homework Equations

Vertical: a = (v-v

_{0})/t

Horizontal: Δx = v

_{0}t+1/2at

^{2}

## The Attempt at a Solution

[/B]I found the time as 2.8 s using the first equation by setting v = 0 (midway in flight), and v

_{0}= 40sin45

Then I substituted the time into the second equation along with 0 for the acceleration since there is no horizontal acceleration and v

_{0}= 40cos45. And got 79 m, so the ball lands before the lake.

But apparently the answer is that it lands after the lake.

What did I do wrong?