A rocket is fired vertically upward from the ground. The distance s in feet that the rocket travels from the ground after t seconds given by s(t) = -16 t2 + 560 t. Apply calculus to find the velocity of the rocket 3 seconds after being fired. Two objects move on a horizontal frictionless surface along the same line in the same direction which we shall refer to as the forward direction. The trailing object of mass has a velocity of forward. The leading object of mass has a velocity of forward. The trailing object catches up with the leading object and the two objects experience a completely inelastic collision. By using the rule of conservation of Momentum, calculate is the final velocity of each of the two objects?

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Newton's First Law of Motion

If a very smooth ball is rolled down an inclined surface with zero friction, the ball will continue to roll indefinitely for an infinite time, in an attempt to reach to the same height on the opposite hill!