Working out the initial velocity

AI Thread Summary
To determine the launch speed necessary for Tom to successfully jump a 200m wide river using a 60m ramp at a 30° angle, the initial velocity can be calculated using the formula vo = √(Rg/Sin(2θ)). Substituting the values, vo is derived as √(200g/0.866). It is emphasized that understanding the underlying physics is more beneficial than memorizing formulas. Creating a clear diagram of the scenario is recommended to visualize the problem effectively. Additionally, assumptions about the rocket skates' performance may need to be considered for accurate calculations.
theholychilli
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Homework Statement


Tom decided to attempt to jump a 200m wide river on rocket skates. He built a 60m long ramp with an angle of 30° to the horizontal and plans to land on a mattress at ground level. Determine the launch speed necessary for Tom to be successful.

Homework Equations



I read up on this:
vo = √Rg/Sin(2 * θ)

The Attempt at a Solution



vo = √200 * g/Sin(2 * 30)
vo = √200*g/0.866

Not a homework question, but I stumbled upon this and want to learn this stuff.
 
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Hi theholychilli. http://img96.imageshack.us/img96/5725/red5e5etimes5e5e45e5e25.gif

I very much doubt that there is a neat formula going around which you can memorize for this problem. Much better that you learn to figure it out for yourself.

The first step is to draw a large clear diagram, and mark on all the relevant details you know. See how you go with that.

I think there is an assumption that is going to have to be made about the skates, too ...
 
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