Vertical projectile motion displacement calculator

I want to calculate
Initial vertical velocity(Vy0) = m/s
Gravity acceleration(g) = m/s2
Time(t) = s
Upward distance(Δy) = m/s
 

What is a Vertical Projectile Motion Displacement Calculator?

A Vertical Projectile Motion Displacement Calculator is a tool that determines the vertical displacement (position) of an object in free-fall or upward motion under gravity. It helps solve kinematics problems involving vertical motion.

Why Use a Vertical Projectile Motion Displacement Calculator?

This calculator is useful for:

  1. Physics Studies – Solving motion equations for falling or thrown objects.
  2. Sports Science – Analyzing jumps, throws, or bounces.
  3. Engineering Applications – Simulating trajectories in mechanical systems.
  4. Game Development – Creating realistic motion for falling objects.

How Does a Vertical Projectile Motion Displacement Calculator Work?

It uses kinematic equations to find displacement (s):

Where:

  • s = vertical displacement (m)
  • v0​ = initial velocity (m/s)
  • t = time (s)
  • g = acceleration due to gravity (9.81 m/s² on Earth)

Alternatively, if height and velocity are known:

Users input time, velocity, or height, and the calculator computes the displacement.

When to Use a Vertical Projectile Motion Displacement Calculator?

  • During physics experiments involving motion under gravity.
  • For sports performance analysis, like jump height calculations.
  • In engineering and robotics, when designing falling/moving objects.
  • For animation/game physics, to create realistic falling motion.