A straight river flows east at 10 mph. A motorboat heads from the south shore of...
A straight river flows east at 10 mph. A motorboat heads from the south shore of the river at a heading of N30ºW toward the opposite shore at a speed of 20 mph and maintains that heading.
Do the following:
• Draw a diagram of the situation. Show your axes.
• Express the velocity of the river as a vector in component form ai+bj.
• Express the velocity of the motorboat relative to the water as a vector in component form.
• Find the true velocity of the boat in mph.
• Find the true speed and direction of the boat.
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