Final Horizontal Velocity Calculator

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Final Horizontal Velocity Calculator:

Enter the values of initial velocity, Vi(m/s), distance, D(m) and time, t(s) to determine the value of final horizontal velocity, Vf(m/s).

Enter Distance : m
Enter Time : s
Enter Initial Velocity : m/s
   
Result – Final Horizontal Velocity : m/s

Final Horizontal Velocity Formula:

Final Horizontal Velocity (Vf) is a crucial concept in physics and engineering, representing the velocity of an object as it concludes a horizontal motion, considering both its initial velocity and the acceleration due to various forces.

It is particularly significant in projectile motion, vehicle dynamics, and other mechanical and civil engineering applications.

The formula for calculating final horizontal velocity is based on the principles of linear motion where acceleration is constant.

Final horizontal velocity, Vf(m/s) in metres per second equals the initial velocity, Vi(m/s) in metres per seconds minus two times the distance, D(m) in metres and divided by time, t(s) in seconds.

Final horizontal velocity, Vf(m/s) = (D(m) / t(s)) * 2 – Vi(m/s)

Vf(m/s) = final horizontal velocity in metres per seconds, m/s.

D(m) = distance in metres, m.

t(s) = time in seconds, s.

Vi(m/s) = initial velocity in metres per second, m/s.

Final Horizontal Velocity Calculation:

1.Calculate the final horizontal velocity of a car:

Given:

  • Initial velocity, Vi(m/s) = 10 m/s
  • Distance travelled, D(m) = 150 m,
  • Time taken, t(s) = 20 s.

Final horizontal velocity, Vf(m/s) = (D(m) / t(s)) * 2 – Vi(m/s)

Vf(m/s) = (150 /20) * 2 -10

Vf(m/s) = 15 – 10

Vf(m/s) = 5m/s.

2.Suppose a car travels a distance of 300 meters in a time of 10 seconds, and the final velocity is measured to be 40 m/s. Calculate the initial velocity using the formula provided.

Given: D(m) = 300 metres, t(s) = 10 seconds, Vf(m/s) = 40m/s.

Final horizontal velocity, Vf(m/s) = (D(m) / t(s)) * 2 – Vi(m/s)

Vi(m/s) = (D(m) / t(s)) * 2 – Vf(m/s)

Vi(m/s) = (300/10) * 2 – 40

Vi(m/s) = 60 – 40

Vi(m/s) =  20m/s.

Applications and Considerations:

  • Transportation Engineering: Understanding final velocities is vital for designing safe transportation systems and managing traffic flows effectively.
  • Sports Science: In sports like track and field, calculating the final velocities of athletes can help in improving performance through better training techniques.
  • Aeronautics: Pilots and engineers calculate final velocities for landing procedures and to ensure the aircraft reaches safe speeds on descent.
  • Projectile Motion: In physics, final horizontal velocities are used to predict landing spots of projectiles.

 

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