1. A straight river flows east at a speed of 20 mi/h. A boater starts at the south shore of the river and heads in the direction which is 60° to the south shore. The motorboat has a speed of 20 mi/h relative to the water. (a) Express the velocity of the river as a vector in component form. (b) Express the velocity of the motorboat relative to the water as a vector in component form. (c) Find the true velocity of the motorboat. (d) Find the true speed of the motorboat. (e) Find the true direction of the motorboat (as a bearing).

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Newton’s Third Law of Motion

The horse pulls the cart and the cart pulls the horse in response as per Newton third law. So the big question is, “Don’t the two forces cancel each other? How does the cart accelerate?”