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April 21, 2014

April 21, 2014

Posted by **Kristina** on Thursday, December 18, 2008 at 9:06pm.

- Physics -
**bobpursley**, Thursday, December 18, 2008 at 9:21pmThe ship is moving at 40m/second? I dont believe it. That is over 80miles/hour.

You have to aim at where the ship will be.

let it be 250+x

but x=40*timeinair

now time in air is found from....

1) hf=hi+ViSinTheta*time-1/2 g time^2

Notice that is a quadratic.

and the horizontal equation..

250+x=Vicostheta*time

2)250+40*time=ViCostheta*time

So you have two equations, two unknowns. Which means you can choose an arbritary value for one. Theta is the most complicated, so choose a launch angle. Lets make Theta 32 deg.

Find the cos32, sin32 and put those in the equation.

Now in the second equation, solve for Vi in terms of time. Now put that value of Vi in the first equation, and solve for time. You have it all.

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