![]() Significance(a) As mentioned earlier, the time for projectile motion is determined completely by the vertical motion. Solve for the magnitude and direction of the displacement and velocity using Recombine quantities in the horizontal and vertical directions to find the total displacement s → s → and velocity v →.The problem-solving procedures here are the same as those for one-dimensional kinematics and are illustrated in the following solved examples. Note that the only common variable between the motions is time t. Solve for the unknowns in the two separate motions: one horizontal and one vertical.Use the kinematic equations for horizontal and vertical motion presented earlier. Treat the motion as two independent one-dimensional motions: one horizontal and the other vertical. ![]() The magnitudes of the components of velocity v → v → are v x = v cos θ and v y = v sin θ, v x = v cos θ and v y = v sin θ, where v is the magnitude of the velocity and θ is its direction relative to the horizontal, as shown in Figure 4.12. The magnitudes of the components of displacement s → s → along these axes are x and y.
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