A team of engineering students designs a medium-size catapult which launches 8-lb steel spheres.  The launch speed is vo = 80 ft/sec, the launch angle is ? = 35o above the horizontal, and the launch position is 6 ft above ground level.  The students use an athletic field with an adjoining slope topped by an 8-ft fence as shown. Determine: (a) the time duration tf of the flight. (b) the x-y coordinates of the point of first impact. (c) the maximum height h above the horizontal field attained by the ball. (d) the velocity (expressed as a vector) with which the projectile strikes the ground (or the fence).

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Conservation of Energy

In physics, the rule of the conservation of energy states that energy doesn’t disappear from the atmosphere; instead, it changes its form from one type to another. Energy is one of the most important physical quantities in nature, and it cannot be created or destroyed — only transformed.