Velocity & Acceleration
(incl. trajectory)
Subject
Velocity describes the constant speed taken to travel between two points in a specified time.
Acceleration describes the linear rate of change of velocity between two points in a specified time.
Trajectory describes the nonlinear variation in velocity due to gravitational acceleration on a body ejected upwards from the surface of a planet and falling back to its surface.
The uses of such calculations are too numerous to mention.
Calculator
Travelacc includes three calculation options; Linear, Rotary and Trajectory
Linear calculates the velocity and acceleration of a point on a straightline path.
Rotary calculates the rotary velocity and acceleration of a point on a circular path.
For 'Linear' and 'Angular' motion path calculation options, you simply enter the data you have and Travelacc will fill in the missing data as soon as it can. If you enter a radius in the 'Angular' calculation option, it will also convert the results to rotary (e.g. rimspeed) and linear (centripetal and tangential) results.
Trajectory calculates the key information for a projectile shot into the air that subsequently falls to earth under gravitational acceleration. The calculations include the lengthening, shortening and lateral deflection effects of air and wind. This calculation option includes a coordinate list that enables you to plot your trajectory in your preferred spreadsheet.
Given that gravitational pull varies all over the earth’s surface, the velocity and acceleration calculator allows you to enter whichever gravitational acceleration is appropriate for your region (see CalQlata's UniQon calculator).
For help using this calculator see Technical Help
Velocity and Acceleration Calculator  Options
Linear
Calculates the missing information about a body travelling in a straight line under constant acceleration.
You enter: 
and the velocity and acceleration calculator will provide: 


Rotary
Also known as ‘Angular’, calculates the missing information about a body travelling in a circular motion under constant acceleration. If a value is entered for the radius of the path followed by the body, Travelacc will also convert the results to circular and linear properties.
You enter: 
and the velocity and acceleration calculator will provide: 


The values not entered, and

Rotary distance

Rotary initial velocity

Rotary final velocity

Rotary acceleration

Linear initial acceleration (aᴸ↑)

Angular orientation of aᴸ↑

Linear final acceleration (aᴸ↓)

Angular orientation of aᴸ↓

Trajectory
Calculates the properties of the path followed by a body shot into the air which then returns to earth under the pull of gravity. This calculation includes the effects of the body slowed down by drag and the effects of a horizontal wind that may cause the body to drift away from the initial aim. A list of coordinates for your trajectory may be listed below the output data if the 'List' button is clicked.
You enter: 
and the velocity and acceleration calculator will provide: 


Initial velocity

Peak height

Distance to peak

Time to peak

Distance to target

Time to target

Final velocity

Impact energy

Drift distance

Drift angle

Coordinate listing: t,x,y,z,s

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