PHYIC CALCULATOR
Projectile Motion Calculator
A precise tool.
What is the Projectile Motion Calculator & How does it work?
Projectile motion is the motion of an object thrown into the air, subject only to the acceleration due to gravity. The path followed by the projectile is called its trajectory.
The horizontal position (x) and vertical position (y) of a projectile at time (t) can be calculated using the following equations:
[ x = v_0 cos(theta) t ] [ y = v_0 sin(theta) t – 0.5 g t^2 ]
v0 = initial velocity, ΞΈ = launch angle, g = acceleration due to gravity (9.81 m/sΒ²), t = time in seconds
Parameters
Result
β
Frequently Asked Questions
How do I calculate the horizontal distance traveled by a projectile?
Use the formula x = v0 * cos(ΞΈ) * t, where v0 is the initial velocity, ΞΈ is the launch angle, and t is the time.
What does g represent in the projectile motion equations?
g represents the acceleration due to gravity, which is approximately 9.81 m/sΒ² on Earth.
How do I find the maximum height of a projectile?
Calculate it using the formula y_max = (v0^2 * sin(ΞΈ)^2) / (2 * g).
Can this calculator handle different units for velocity and time?
No, the calculator uses standard units: meters per second for velocity and seconds for time.
What is the trajectory of a projectile?
The trajectory is the path that a projectile follows through the air, which is typically a parabolic curve.
How do I determine the time of flight for a projectile?
Calculate it using the formula t_flight = 2 * v0 * sin(ΞΈ) / g.
Can this calculator be used to calculate the impact velocity of a projectile?
No, this calculator focuses on position and trajectory. Impact velocity would require additional calculations.
Results are for informational purposes only and do not constitute professional advice.