Question

1. You are driving into St. Louis, Missouri, and in the distance you see the famous Gateway-to-the-West arch. This monument rises to a height of 192 m. You estimate your line of sight with the top of the arch to be 6.83 ° above the horizontal. Approximately how far (in kilometers) are you from the base of the arch?

Numbers ______ Units_____

2. A highway is to be built between two towns, one of which lies 44.0 km south and 76.9 km west of the other. (a) What is the shortest length of highway that can be built between the two towns, and (b) at what angle would this highway be directed, as a positive angle with respect to due west?

A. Numbers _____ Units____

B. Numbers_______ units____

3.

Vector A→ has a magnitude of 79 units and points due west, while vector B→ has the same magnitude and points due south. Find the magnitude and direction of (a) A→+B→ and (b) A→-B→. Specify the directions relative to due west.

(a) Magnitude and direction of A→+B→ = ______ and __________

(b) Magnitude and direction of A→-B→ =  and ^o  north of west or south of west?

4.

A force vector has a magnitude of 584 newtons and points at an angle of 40^o below the positive x axis. What are (a) the x scalar component and (b) the y scalar component of the vector?

(a)  F_x = Number  ______ Units_____

(b)  F_y = Number  Units _______

Answer 1