What Is the Equation for the Trajectory of a Projectile?


Quick Answer

The range for the trajectory of a projectile can be found by completing this equation: d = ([v^2] * sin(2x))/g. The variables "d" represents the range, "v" represents the initial velocity, "x" equals the angle at which the projectile was launched and "g" is the gravitational acceleration.

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Full Answer

The maximum height that a projectile can reach along its trajectory is given by the formula h(max) = 1/2(v^2)(g). The position of a projectile along its trajectory can be determined at any given point with the equation x = vt for the horizontal distance, and vt - 1/2(v^2)(g) for the vertical distance. In those equations, "t" equals the time since launch of the projectile.

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