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Calculator Description

# 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 non-linear 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 straight-line 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. rim-speed) 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 co-ordinate 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:
• Time
• Distance
• Initial velocity
• Final velocity
• Acceleration
• The values not entered

#### 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:
• Time
• Displaced angle
• Angular initial velocity
• Angular final velocity
• Angular acceleration
• 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 co-ordinates 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:
• Mass
• Cross-sectional area of body
• Density of atmosphere
• Initiation energy
• Angle of initiation
• Target relative height
• Wind velocity
• Wind direction
• Gravitational acceleration
• Time-step (co-ordinates)
• Initial velocity
• Peak height
• Distance to peak
• Time to peak
• Distance to target
• Time to target
• Final velocity
• Impact energy
• Drift distance
• Drift angle
• Co-ordinate listing: t,x,y,z,s

Price: £12.00

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