1.

The velocity of a drone relative to the air is modeled byv= 3i+ 8j. The drone encounters wind with velocity modeled byw= 5i 2j. Which is the true velocity vector of the drone?

A	5i+ 3j
B	2i+ 6j

2.

A boat is traveling at 28 knots in a direction of 36. It encounters wind moving at 10 knots in a direction of 22. What is the true velocity and direction of the boat? Round to the nearest whole number.

A	38 knots; 58
B	38 knots; 32

3.

An object is suspended from two cables that meet at a point above the object. One cable pulls with a force modeled byF₁= 78i+ 44j. The other cable pulls with a force modeled byF₂= 87i+ 80j. What is the angle between the cables? Round to the nearest degree.

A	150
B	108

4.

A cart weighing 200 pounds rests on an incline at an angle of 40. What is the required force to keep the cart at rest? Round to the thousandths place.

A	128.558 pounds
B	133.388 pounds

5.

A traveler pulls a suitcase, as shown in the figure.