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411 REFERENCE · Wikibooks

The Physics Problem Solver/Mechanics/Projectile Motion

Reference material by Wikibooks contributors. This retains its source identity and is not 411 news reporting.

In all parabolic motion examples, where you're given an initial velocity, and an angle, there's always a simple way to solve it. 1) Break the initial velocity into x and y components. V_y = V*Sin(theta), V_x = V*Cos(theta) 2) Find how long it will be in the air, using d = v_i*t + 1/2*a*t^2, (d will be 0, since it the total displacement in the height is 0) and solve for t. 3) Using that 't', use d = vt, where v is the x component of the velocity, and t is the time you calculated before. This 'd' is the total distance traveled horizontally. 4) To get the speed at the end, use vf = v + at, where a is gravity, and t is the calculated time. This is the vf for the y component. 5) Then, use V_total = sqrt(v_x^2 + v_y_f^2) to find the speed it's moving at as hits the ground.