Rearranging Equations for Solving for Velocity

  • Thread starter Thread starter gareth01422
  • Start date Start date
gareth01422
Messages
25
Reaction score
1
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
 

Attachments

  • Equation rearranging.JPG
    Equation rearranging.JPG
    17.2 KB · Views: 362
Physics news on Phys.org
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
 

Attachments

  • Equation rearranging 2.JPG
    Equation rearranging 2.JPG
    23.4 KB · Views: 402

Thread 'Prove that the integral is equal to ##\pi^2/8##'

Prove $$\int\limits_0^{\sqrt2/4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx = \frac{\pi^2}{8}.$$ Let $$I = \int\limits_0^{\sqrt 2 / 4}\frac{1}{\sqrt{x-x^2}}\arcsin\sqrt{\frac{(x-1)\left(x-1+x\sqrt{9-16x}\right)}{1-2x}} \, \mathrm dx. \tag{1}$$ The representation integral of ##\arcsin## is $$\arcsin u = \int\limits_{0}^{1} \frac{\mathrm dt}{\sqrt{1-t^2}}, \qquad 0 \leqslant u \leqslant 1.$$ Plugging identity above into ##(1)## with ##u...
View full post »

Similar threads

Series investigation: divergence/convergence
Replies
8
Views
1K
Why Does Taylor's Theorem Use +O(ε) Instead of -O(ε)?
Replies
3
Views
977
Solving 1D First Order Equations for 3D Mass Positions and Velocities
Replies
1
Views
921
Proof Using Mean Value Theorem
Replies
17
Views
2K
System of equations and solving for an unknown
Replies
7
Views
2K
Solution of a parametric differential equation
Replies
4
Views
2K
Solving a linear differential equation with constant coefficients
Replies
9
Views
2K
Solve Angular Velocity & Acceleration - Dimensional Analysis
Replies
3
Views
2K
Rearrange for x. Is this even possible?
Replies
3
Views
2K
Plotting the approximation of the Dirac delta function
Replies
3
Views
1K

Hot Threads

Recent Insights

Back
Top