Rearranging Equations for Solving for Velocity

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gareth01422
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Hi guys

I just wanted to check if i have done this correctlly

I am trying to combine and rearrange the 2 equations to make v the subject.

Please see the attached image.

Have i got this correct?

Gareth
 

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Sure. It's just fine.
 
Brilliant

Thanks Dick

I wasnt too sure about the 2x on the right hand side then finding the square root of the total. but if its ok I am pleased with that.

Gareth
 
Hi guys

I have calculated the following equation but i need to find a way of testing it.

the info i was given is a diver at 3.7 m height and I need to find the speed at which they enter the water of the pool. Gravity = 9.8 m s-2.

How do i go about testing the equation to see if i have the right answer?

Gareth
 

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Thread 'Finding the nth roots of a complex number'

There are two things I don't understand about this problem. First, when finding the nth root of a number, there should in theory be n solutions. However, the formula produces n+1 roots. Here is how. The first root is simply ##\left(r\right)^{\left(\frac{1}{n}\right)}##. Then you multiply this first root by n additional expressions given by the formula, as you go through k=0,1,...n-1. So you end up with n+1 roots, which cannot be correct. Let me illustrate what I mean. For this...
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