Distance - constant velocity

The Distance - Constant Velocity  calculator uses the equation, dx= x₀+v₀⋅t, to compute the total linear displacement (distance travelled).

INSTRUCTIONS: Choose the preferred units and enter the following;

• (x₀) This is the initial displacement.  
• (v₀)  This is the initial velocity.
• (t)  This is the duration of the motion or travel.

Distance:  The calculator returns the distance in meters.  However, this can be automatically converted to other length or distance units via the pull-down menu.

The Math / Science

   Motion under Constant Velocity 
This calculator computes the distance an object travels as a function of time traveling at a constant initial velocity with the addition of an initial displacement (distance).  This equation ignores external forces and so the object continues its motion at its initial constant velocity, `v_0`, as an expression of Newton's First Law.

where:

• `v_0` - Initial velocity at time t = 0
• `x_0` - initial displacement at time t = 0
• t - time of travel in the x-direction

Vehicle Calculators

• Approach (Departure) Angle: Computes the maximum angle of a ramp onto which a vehicle can climb without scraping.
• Degree to Percent Grade: Converts a grade to a degree angle.
• Camber angle - Wheel camber (tilt) calculation of angle
• Camber offset - Wheel camber (tilt) calculation of offset
• Breakover Angle: Compute maximum angle that a vehicle can drive over without the ground touching the vehicle's undercarriage.  
• Time to Overtake: Computes the time for one object to overtake another.
• Distance to Overtake: Computes distance traveled to overtake another.
• Speed to Overtake: Computes the average velocity to overtake another.
• Distance Traveled: Computes the distance traveled over a period of time.
• Speed from Skid Marks: Estimates the speed of a vehicle based on length of skid marks.
• Braking Distance: Estimates distance to stop a vehicle based on initial velocity and braking coefficient.
• Total Stopping Distance: Computes the distance to stop a vehicle based on the initial velocity, reaction time and a braking coefficient.
• Speed from the Braking Distance: Estimates the initial speed based on the distance to stop a vehicle and the a braking coefficient.
• Used Car Price Comparison: Estimates the better value between two vehicles based on their mileage, cost and expected lifespan (miles).
• Belt Length: Computes the length of a belt that goes around two pulleys based on the pulley diameters and the distance between the axles.
• Belt Speed: Computes the speed at which a linear length of belt travels around a pulley  based on the diameter of the pulley and the rotation rate.
• Pulley RPMs: Computes the RPMs of a pulley based on the belt speed and diameter of the pulley.
• 2nd Pulley RPMs: Computes the RPMs of a second pulley based on the the RPMs and Diameter of the first pulley and the diameter of the second pulley.
• 2nd Pulley Diameter: Computes the diameter of a second pulley based on the RPMs and diameter of the first pulley and the RPMs of the second pulley.
• RPM of 4th pulley on three shafts: Computes the RPMs (rotation rate) of a pulley when the RPM and Diameters are known for a series of pulleys on three axles.
• 2nd Gear RPM: Calculates the RPMs of a second gear when the RPMs and number of teeth are known for the first gear and the number of teeth of the second gear is known,
• 2nd Gear Torque: Calculates the torque of a second gear when the torque and number of teeth are known for the first gear and the number of teeth of the second gear is known,

Motion Calculators:

• Compute Duration (Time) of Free Fall
• Compute Distance (Height) of Free Fall
• Compute Final Velocity of a Free Fall
• Compute the time from the distance and velocity.
• Compute the velocity from the distance and time.
• Compute the distance from the velocity and time.
• Distance from initial displacement, velocity and time
• Distance from initial displacement, velocity, time and constant acceleration

Reference

• Young, Hugh D., Roger A. Freedman, A. Lewis Ford, and Francis Weston Sears. "2.4." Sears and Zemansky's University Physics: With Modern Physics. San Francisco: Pearson Addison Wesley, 2004. 51. Print.