An ant walks due east at a constant speed of 4 mi/hr on a sheet of paper that re

Question

An ant walks due east at a constant speed of 4 mi/hr on a sheet of paper that rests on a table. Suddenly the sheet of paper starts moving southeast at 2Squareroot2 mi/hr. Describe the motion of the insect relative to the table. Consider the diagram to the right. Let v_p be the velocity of the ant relative to the paper, let p be the velocity of the paper, and let v_t be the velocity of the ant relative to the table. Note that the diagram is not to scale. Which of the following equations should stand? A. v_t = vpmiddot B. v_t = p-v_p C. v_t = v_p + p D. v_t = v_p-p The magnitude of the motion relative to the table is mi/hr. (Type an exact answer, using radicals as needed.)

Explanation / Answer

Velocity of ant relative to table is = velocity of ant - velocity of table = 4i -( 22 i - 22 j )

= (4-22)i + 22j

Magnitude of velocity= ((4-22)^2+(22)^2)= (32-162)= 4(2-2)

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