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zero initial velocity and a constant acceleration of 𝑔 downward.zero acceleration (and hence a constant velocity) in the horizontal direction.Hmax = Vy² / (2 x g) Launching an object from an elevated position (initial height h > 0)Ĭan you believe projectile motion calculations involve so much work? This projectile motion calculator will save you a lot of time! All you need are two values, and the calculator takes care of the rest.Recall that when a particle is projected horizontally, we model it as having Launching an object from the ground (initial height h = 0) Hmax = h + V² x sin(α)² / (2 x g) Equations for Projectile Motion After reading the above steps for calculating projectile motion, you might feel frazzled! You won’t remember them all, but these below are important: When you launch an object from an initial height (h), you only need to add that value to the final formula: It becomes 0 for a moment in time.Īll you need to do then is find the vertical distance from the ground: The vertical velocity then changes from a positive number to a negative one. Your golfball will reach a point when it reaches its maximum altitude. What if the initial elevation is not 0? The long formula needs some minor alterations: If you launch a golf ball from the ground (height = 0), the formula will be: The total horizontal distance during travel dictates the projectile’s range.

T = / g 4.Ĝalculate the projectile’s range If you are adding elevation to the object, you solve a quadratic equation first. Using that formula, you can establish the time of flight is:

You can determine this as being when the vertical distance to the ground is 0. The flight time ends when the projectile hits the ground. Vertical acceleration = -g (gravity acts on a projectile) 3.Ĝalculate the flight time Vertical velocity = Vy – g x t Acceleration - Horizontal acceleration = 0 Vertical distance from the ground is y = h + Vy x t – g (gravity) x t² / 2 Velocity - Horizontal velocity = Vx Distance - Horizontal distance traveled is x = Vx x t (time) If α = 90°, then it’s a freefall.Ģ.Ğstablish the equations of motion. If the vertical velocity is zero, then you have horizontal projectile motion. Three vectors (V, Vx, and Vy) = a right triangle The calculator uses the following steps to work out the remaining parameters for you.ġ.Ĝalculate your velocity components. Once you know the initial velocity ( v), launch angle ( α), and initial height ( h), use the calculator. Analyzing Projectile Motion Projectile motion might look complicated, but it involves logic. If you involved a second force, then it would not be a projectile. In that motion, there is one force: gravity. Anything forming that movement, like an archer shooting an arrow, is projectile motion. It would look like a curve (trajectory) in a parabolic shape. Pay attention to the movements that ball made. It will then start its descent, showing promise for that elusive hole-in-one! The further it moves toward the green, the slower its ascent becomes. Imagine him hitting the ball, blasting it forward and up.

What is the Definition of Projectile Motion? For an example of projectile motion, let us look at a golfer. Use a projectile motion calculator to learn about velocity, flight, and projectile ranges. Do you want to analyze parabolic projectile motion? What about knowing more about what it means? Do you want to determine projectile motion equation values?īelow, you can learn all this and more.