In this lesson, we will learn how to identify how vectors are used in mechanics to solve problems in two dimensions.

Students will be able to

Q1:

Say that the positive direction of motion is toward the right. Which of the following correctly describes the motion of a particle whose velocity is negative and acceleration is positive?

Q2:

A particle is moving from point 𝐴 to point 𝐵 and then to point 𝐶. The displacement from point 𝐴 to point 𝐵 is 3+5ij cm, and the displacement from point 𝐵 to point 𝐶 is ij−7 cm. Find the distance between point 𝐴 and point 𝐶 rounded to the nearest one-hundredth of a centimeter.

Q3:

The acceleration of a particle is 4−3ij m/s^{2}. Find the angle, rounded to the nearest degree, that the acceleration of this particle makes with the unit vector i.

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