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Projectile motion is the motion of an object through the air or space under the influence of gravity, with no other forces acting on it.
To solve projectile motion problems in one or two lines, you can use the equations of motion: x = x0 + v0t + 1/2at^2 and v = v0 + at, where x is the final position, x0 is the initial position, v0 is the initial velocity, a is the acceleration, and t is the time.
The key factors to consider when solving projectile motion problems are the initial velocity, angle of launch, and acceleration due to gravity.
Yes, the same equations can be used to solve projectile motion problems in both one and two dimensions. However, in two dimensions, you will need to break down the motion into horizontal and vertical components.
Some common mistakes to avoid when solving projectile motion problems are forgetting to account for the acceleration due to gravity, using the wrong units, and not considering the direction of the velocity and acceleration vectors.