Scalars & Vectors (College Board AP® Physics 1: Algebra-Based): Exam Questions

The magnitude of vector is 20. Which of the following could be components of vector ?

Vector has a direction of south, and vector has a direction of west.

Which of the following expressions correctly describes the magnitude and direction of the vector ?

Two forces, at above the horizontal and at above the horizontal in the same direction, act on an object.
Which of the following most nearly gives the magnitude of the resultant force acting on the object?

The magnitude of vector is 5.

Which of the following could be the magnitude of the horizontal and vertical components of vector ?

Two forces, each of 10 N, act at a point P as shown in the diagram. The angle between the force vectors is 120° .

What is the magnitude of the resultant force?

When no wind is present glider floats directly from the top of a peak in the west to the top of a peak of equal height directly to its east with a constant speed of . A cross wind blows from north to south with a magnitude .

Which of the following gives a suitable expression for the direction the glider travels when in the cross wind?

A kayaker rows at from the north bank to the south bank of a river wide, flowing east at . The kayaker maintains a constant heading directly south.

Which of the following is the displacement the kayaker travels downstream between leaving the north and arriving at the south bank?

Two vectors at above the horizontal and along the horizontal are combined to obtain a resultant vector .

Which of the following is most nearly the ratio of the horizontal component of to its vertical component?

A swimmer wants to swim directly across a river from a point on one side to a point on another. The river flows east with speed so the swimmer has to position themselves to swim upstream so their resultant motion goes directly from the north bank of the river to the south bank. The swimmer’s speed relative to the water is .

Which of the following expressions correctly describes both the magnitude of the swimmer's resultant velocity and the direction they must position themselves in relation to the river bank to swim directly across from north to south?

A hiker starts at a point and travels north, then east, and finally southwest at an angle of .

Which of the following is most nearly the magnitude of the hiker's displacement?