Projectile Motion for Vertical Velocity Calculator

A projectile is an object upon which the only force acting is gravity. There are a variety of examples of projectiles: an object dropped from rest is a projectile (provided that the influence of air resistance is negligible).

The main criteria of a projectile object are:

  • Objects fall to the ground at the same rate because the acceleration due to gravity is the same for all objects.
  • All objects accelerate toward Earth at a rate of 9.8 meters per second per second (9.8 m/s/s)
  • Horizontal motion of a projectile moves at a constant velocity, covering equal distances in equal time intervals. There is no horizontal acceleration.
  • The vertical component of a projectile's velocity is subject to the force of gravity. It accelerates downward resulting in greater distances that are covered in each successive time interval.
The horizontal and vertical components of projectiles are completely independent of each other.
Projectile Motion for Vertical Velocity Calculator
I want to calculate:
Initial Vertical Velocity (Vy0): m/s
Acceleration of Gravity (g): m/s2
Time (t): s
Vertical Velocity at Time (Vy): m/s
Formula
Vertical Velocity at Time:
Vy = Vy0 - gt

Initial Vertical Velocity:
Vy0 = Vy + gt

Acceleration of Gravity:
g = Vy0 - Vy /t

Time:
t = Vy0 - Vy / g

Where,
Vy = Vertical Velocity at Time
Vy0 = Initial Vertical Velocity
g = Acceleration of Gravity
t = Time.

Projectile motion is a part of parabolic motion. Parabolic motion has the following properties:

They are under constant acceleration.

There exists a non-zero component which is perpendicular to the acceleration so as to produce a parabolic path. If this condition is not satisfied, the motion is actually a linear motion.

By definition, a projectile has only one force acting upon - the force of gravity.

Example:
Calculate the Vertical Velocity at Time (Vy) for a projectile object by the given details.
Initial Vertical Velocity (Vy0) = 40 m/s
Acceleration of Gravity (g) = 10 m/s2
Time (t) = 2 s

Solution:
Apply Formula:
Vy = Vy0-gt
Vy = 40 -10*2
Vy = 40 -20
Vy = 20m/s
Vertical Velocity at Time (Vy) = 20m/s