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11th grade Scalars and vectors worksheet

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Scalars and vectors

Grade 11 Science Worksheet

NameDate

Circle the best answer, or write your answer on the line.

  1. A drone flies 120 m north, then 90 m east, taking 50 s in all. What is the size of its average velocity, Ari?

  2. A drone flies 160 m north, then 120 m east, taking 40 s in all. What is the size of its average velocity, Bo?

  3. A drone flies 300 m north, then 400 m east, taking 125 s in all. What is the size of its average velocity, Esme?

  4. A car turns a corner at a steady 10 m/s, from heading east to heading north. What is the size of its change in velocity, Kira?

    • 20 m/s, pointing west
    • 0 m/s, since the speed is the same
    • About 14 m/s, pointing northwest
    • 10 m/s, pointing north

  5. A car moves at a constant 20 m/s round a curve. Which statement is true, Luz?

    • It accelerates, because its speed keeps changing
    • It has no net force on it, since the speed is steady
    • It accelerates, because its velocity changes direction
    • It does not accelerate, since its speed is constant

  6. A boat heads east at 4 m/s in still water while a current flows north at 3 m/s. What is the boat's speed relative to the ground, Milo?

    • 5 m/s
    • 3.5 m/s
    • 7 m/s
    • 1 m/s

  7. A boat travels 5 m/s in still water and must land directly opposite in a 3 m/s current. At what angle to the straight-across line must it aim upstream, Pia?

    • About 31°
    • 0°, straight across
    • About 53°
    • About 37°

  8. A box at rest has a 6 N force east and an 8 N force north on it. A third force keeps it at rest. What is the third force, Ren?

    • 14 N, pointing southwest
    • 10 N, pointing 53° north of east
    • 2 N, pointing south
    • 10 N, pointing 53° south of west

  9. Forces of 5 N and 12 N act on a box. Which of these could be the size of the net force, Tala?

    • 10 N
    • 18 N
    • 20 N
    • 3 N

  10. A plane heads north at 200 km/h through air. A wind blows east at 50 km/h. What is its velocity relative to the ground, Zee?

    • About 206 km/h, 14° east of north
    • 250 km/h, due north
    • About 206 km/h, 14° north of east
    • 150 km/h, 14° east of north
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11th grade Scalars and vectors worksheet – printable
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About this worksheet

Scalars and vectors. Every version has 10 questions, and the answer key prints on the second page.

What your child will learn

  • I can find the net force of two forces at right angles (a right triangle), and the change in velocity when a ball rebounds or a car turns.
  • I can tell distance from displacement and average speed from average velocity on laps, circles and two-leg trips.
  • I can read an arrow grid with a scale in two directions, and tell equal, opposite and double vectors.
  • I can add velocities for boats, planes and relative motion, find a balancing force, and judge claims about vector sums.

Standard: supports HS-PS2-1

Words to know

scalar: A quantity with size only

vector: A quantity with size and direction

magnitude: The size of a vector, without its direction

displacement: Straight-line change in position, start to finish, with direction

velocity: Displacement per second; speed with a direction

net force: All the forces on an object added as vectors

resultant: The single vector equal to two or more vectors added

relative velocity: One object's velocity as seen from another: subtract their velocities

Common mistakes

Your child added the sizes of two vectors. Vectors that do not point the same way add by their directions, so the sum is shorter than the sizes added.

Your child subtracted the sizes. Only forces pulling opposite ways partly cancel; forces at right angles do not.

Your child subtracted the two speeds. Change in velocity uses the vectors, so reversing direction makes the change larger.

Questions parents ask

What is the most common mistake with scalars and vectors?

Your child added the sizes of two vectors. Vectors that do not point the same way add by their directions, so the sum is shorter than the sizes added.

Are these 11th grade science worksheets free to print?

Yes. All 6 printable versions at each level are free to print, with the answer key, and no account is needed.

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