USE EXACT NUMBERS NO DECIMALS PLEASE EXPLAIN An insect is wa

USE EXACT NUMBERS... NO DECIMALS, PLEASE EXPLAIN*

An insect is walking due east at a constant speed of 1 mi/hr on a sheet of paper that rests on a table. Suddenly the sheet of paper starts moving southeast at root2 mi/hr. Describe the motion of the insect relative to the table. An insect is walking due east at a constant speed of 1 mi/hr on a sheet of paper that rests on a table. Suddenly the sheet of paper starts moving southeast at root2 mi/hr. Describe the motion of the insect relative to the table.

Solution

taking i and -j as unit vectors along east and south,
rel. velocity = i - (2cos 45. i - 2sin 45. (-j)) = j

magnitude = 1 mi/hr.

direction 90 degree north with respect to the table.