Question bank: Vectors: Addition

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Question 1:

Medium

A race car is moving in the Cartesian plane and makes two consecutive displacements. First, the car travels 10 meters in the positive direction of the x-axis. Then, it turns 90 degrees to the right and travels 20 meters in the positive direction of the y-axis. What is the resultant vector of the car's displacement after the two movements?

Vectors: Addition

Question 2:

Medium

Two cars are moving on a straight track. The first one is heading north with a speed of 60 km/h and the second one is heading east with a speed of 40 km/h. Determine the resultant speed of the second car relative to the first one and its direction. Use vectors in the Cartesian plane to calculate the answer.

Vectors: Addition

Question 3:

Medium

In a soccer game, a player needs to run to reach a moving ball. He is at a position represented by the vector A = (2, 3) and needs to reach the ball, whose position is represented by the vector B = (5, 7). Using the parallelogram rule or the Cartesian plane, what is the sum of vectors A and B, represented by the vector C (Cx, Cy)?

Vectors: Addition

Question 4:

Medium

An airplane departs from point A bound for point B, traveling a distance of 300 km in the north direction and then makes a turn and travels another 400 km in the east direction. Determine the resultant vector of this trip and the total distance traveled by the airplane considering the parallelogram rule. Given the options below, what is the correct alternative representing the resultant vector and the total distance?

Vectors: Addition

Question 5:

Medium

A toy car was pushed with forces of 2N and 6N on the x-axis. What is the magnitude of the resultant vector of these forces?

Vectors: Addition

IARA TIP

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