(adsbygoogle = window.adsbygoogle || []).push({}); 1. The problem statement, all variables and given/known data

According to the Guinness Book of World Records, the longest home run ever measured was hit by Roy "Dizzy" Carlyle in a minor-league game. The ball traveled 188m (618 ft.) before landing on the ground outside the ballpark.

Assuming that the ball's initial velocity was 40.0 degrees above the horizontal, and ignoring air resistance, what did the initial speed of the ball need to be to produce such a home run if the ball was hit at a point 0.900 m (3.00ft ) above ground level? Assume that the ground was perfectly flat.

How far would the ball be above a fence 3.00 m (10.0 ft) in height if the fence were 116 m (380ft ) from home plate?

2. Relevant equations

v0x=v0cos(40)

v0y=v0sin(40)

x-x0=v0xt

y-y0=v0yt+1/2at^2

ay=-o.81

y-y0=-0.9

ax=0

x-x0=188

3. The attempt at a solution

-0.9 =v0sin40t + 1/2(-9.81)t^2

t= 188/v0cos(40)

0 = (v0sin40)(188/v0cos(40))-(4.9)(188/v0cos(40))^2+0.9

graphed it on a calculator to avoid messy algebra and got the wrong answer of 32.97.

No Idea why this is wrong. Any ideas?

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