Physics 197 Lecture 23: Projectile Motion
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Physics 197 Full Course Notes
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Weight: the force that gravity exerts on an object. At points near the earth"s surface, mag(vector g) = 9. 8 m/s^2 = 22 mi/h/s. An object is freely falling if its weight is the only force acting on it. Newton"s second law implies that a freely falling object"s acceleration is vector a = vector g: for this reason, vector g is often called the acceleration of gravity. If the drag forces acting on an object are negligible compared to its weight, we say that its motion is simple projectile motion. Integrate both sides of dv/dt = (vector a)(t) = vector g and dr/dt = (vector v)(t) with respect to time. [xo, yo, zo] are the components of the object"s initial velocity and position at time t = 0 respectively: limitations: gravity must be the only signi cant force acting on the object, and vector g must be essentially constant in magnitude and direction during the object"s trajectory.