Define muzzle velocity physics9/17/2023 ![]() Thus, we set the displacement in y equal to zero and find We note the position and displacement in y must be zero at launch and at impact on an even surface. We can solve for the time of flight of a projectile that is both launched and impacts on a flat horizontal surface by performing some manipulations of the kinematic equations. In this case, kinematic equations give useful expressions for these quantities, which are derived in the following sections. Of interest are the time of flight, trajectory, and range for a projectile launched on a flat horizontal surface and impacting on the same surface. The magnitude of the velocity is less than the magnitude of the initial velocity we expect since it is impacting 10.0 m above the launch elevation. This result is consistent with the fact that the ball is impacting at a point on the other side of the apex of the trajectory and therefore has a negative y component of the velocity. (b) The negative angle means the velocity is 36.9 ° 36.9 ° below the horizontal at the point of impact. Thus, any projectile that has an initial vertical velocity of 21.2 m/s and lands 10.0 m above its starting altitude spends 3.79 s in the air. 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
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