Projectile motion calculator
This parabolic motion calculator approximates values to two decimal places, so some results may vary when using more or fewer decimal places.
Main Fields
The parabolic shot calculator consists of 7 main fields: Vo = initial velocity (Magnitude of the velocity vector), Θ = initial angle of motion, Voy = Initial velocity in the y-axis, Vox = Velocity in the x-axis (constant), Ymax = Maximum height, Xmax = Range, and T = time.
To calculate all the motion data, it's necessary to input at least 3 main pieces of data. However, there are some combinations of given data that allow calculation with just two pieces of data, such as maximum height and range or initial velocity and angle.
Secondary Fields
Stop (s) The "stop at seconds" field is any time value (in seconds) that allows you to pause at the exact second you enter. This allows you to see all the data that the shot had at that precise moment, such as its velocity, altitude, and more.
To view this, press the following button on the calculator:
Stop (m) The "stop at meters" field functions similarly to "stop at seconds," with the small difference that here the motion stops after covering a certain distance (as specified in the field). To view the result of the paused motion, simply press the following button:
For both "stop at seconds" and "stop at meters," if the motion doesn't reach the specified results (for example, if you set it to stop at 10 seconds but the motion ends in 8 seconds), then the fields displaying the data will remain empty.
FPS This field defines the frames per second in the simulation. It's set to 50 fps by default, but if the parabolic motion calculator runs slowly, it's recommended to decrease the default fps setting.
Challenging Problems
Problem 1: A ball launcher is inclined at 45 degrees from the ground, and it launches a ball at a speed of 20 m/s. 1- How long does the ball stay in the air? 2- What is the maximum height the ball reaches?
Problem 2: A cannon fires a bullet, and it reaches a distance of 100 meters and a height of 50 meters. 1- At what speed was the bullet launched? 2- How much time did it take to travel through the air?
Problem 3: A projectile is launched at a speed of 100 m/s with an inclination of 30 degrees. 1- What was the projectile's speed after 10 seconds? 2- How much time did it take to reach 100 meters?
Problem 4: If a ball is launched at 45 m/s, and it is known that the velocity in the y-axis is 5 m/s. 1- What is the ball's velocity in the x-axis? 2- What is the angle at which the ball was launched?