PhysicsLAB: Test Scenario: Vectors and Scalars

Refer to the following information for the next three questions.

A cart makes four successive displacements of 3 km, 4 km, 3 km, and 1 km that are at right angles to each other as shown in the diagram below.

1. What was the total distance travelled?

2. What was the magnitude of the cart's net displacement?

3. What is the direction of the cart's net displacement?

Vector A equals (6 meters, 300º). Express A in i, j notation.

Vector L = 4.6i - 3.10j, vector M = -3.30i + 2.10j, and vector N = 5.30i - 2.50j.

Determine the i, j components of the unknown vector K that will make the following vector equation true:

L + N = K + M

Vector S = (6 cm, 180º), vector T = (6 cm, 210º), vector U = (8 cm, 90º), and vector X = (2 cm, 135º). Algebraically determine the magnitude and direction of resultant, R.

R = S - T + (1/2)U + 3X.

Refer to the following information for the next three questions.

Several runners are practicing on a track which as a radius of 30 meters. All three start at the same position.

1. One runner completed two laps in 2 minutes, what was his average speed?

2. A second runner makes three complete laps in 2 minutes. What was her average velocity?

3. The first runner almost immediately sprains his ankle and must stop after running only half was around the track.

What was her displacement if the EMTs ran directly to her from the starting point?

Refer to the following information for the next question.

Which vector equation(s) is(are) FALSE?

E + A = FC + D = ED - F = BC + B = A