### About

### 1.2.3 Velocity LO (f)

From x = x_{o} sin ω t

differentiating we get

where v_{0} = x_{0} ω is the maximum velocity

Variation with time of velocity

## In terms of x:

From mathematical identity cos^{2} ωt + sin^{2} ωt = 1,

rearranging

cos^{2} ωt = 1 - sin^{2} ωt

$$cos\omega t=\pm \sqrt{(1-si{n}^{2}\omega t)}$$

since

v = x_{0}ω cos ωt

where x_{0} is the maximum displacement

$$v=\pm {x}_{0}\omega \sqrt{(1-si{n}^{2}\omega t)}$$

$$v=\pm {x}_{0}\omega \sqrt{(1-(\frac{x}{{x}_{0}}{)}^{2})}$$$$$$

$$v=\pm \omega \sqrt{({{x}_{0}}^{2}-{x}^{2})}$$

Variation with displacement of velocity

### 1.2.3.1 Model:

### Translations

Code | Language | Translator | Run | |
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### Software Requirements

Android | iOS | Windows | MacOS | |

with best with | Chrome | Chrome | Chrome | Chrome |

support full-screen? | Yes. Chrome/Opera No. Firefox/ Samsung Internet | Not yet | Yes | Yes |

cannot work on | some mobile browser that don't understand JavaScript such as..... | cannot work on Internet Explorer 9 and below |

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### end faq

## Apps

https://play.google.com/store/apps/details?id=com.ionicframework.shm09app611123&hl=en

### end faq

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