The diagram below shows a projectile launched at some angle up and to the right. 1. Draw possible horizontal and vertical components of the velocity at point "x." 2. Draw a possible total velocity vector at point "y." Be sure to demonstrate how you arrived at the answer. 3. If an object had been projected horizontally with the same magnitude as in the situation above, how would the its motion compare with that of the object above? 4. If an object had been projected vertically with the same initial vertical velocity as the object above, how would its vertical velocity components compare with the one above. 5. If the object had been projected from position "z" with the horizontal components of velocity reversed (at 180) compared to the situation above, how would the path of motion of that object compare with the one above? Summary Projectile motion refers to the motion of an object projected into the air and moving only under the influence of gravity. The following diagrams show the relative magnitude and direction of the velocity vectors for objects projected vertically, horizontally, and at an angle. 4. 3. 4. 5. 2. 1. 6. Vertical Projection For the vertical projection of an object, only the y-components of the velocity vectors are shown. 7. Horizontal Projection For objects projected horizontally, both the x and y-components have been shown as well as the total velocity vector. N Angled Projection For objects projected at an angle, both the x and y-components have been shown as well as the total velocity vector. This diagram is a combination of the two previous diagrams on horizontal and vertical projection. The equations for horizontal motion are Vx = Vx1 x = Vxt. The equations for vertical motion are + = d = vt + 1 at 1 2 d=vt-at V = v + 2ad