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Rate of Change What is it? A slope is the rate at which the y changes as the x changes Velocity is the rate the position of an object changes as time changes, therefore it is the slope of a position versus time graph If the graph is not a straight line, the velocity at a single point is the slope of the tangent line to that point – called Instantaneous Velocity Example Suppose a ball is dropped from the deck of the CN Tower, 450 meters above ground. If its position (s) at a given time (t) is given by the function s = 4.9 t2 a) what is the velocity after 5 seconds? b) how fast will the ball be travelling when it hits the ground?