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3 - Two-Dimensional Kinematics Online Quiz Questions

Use this free practice quiz with 20 questions to review 3 - Two-Dimensional Kinematics, test your knowledge, and prepare for your next test or exam.

20 questions
01
Choose all
1 point

Which statements describe ideal projectile motion when air resistance is neglected? Select all correct choices.

  1. A

    The horizontal acceleration is zero.

  2. B

    The vertical acceleration is −g-g.

  3. C

    The horizontal velocity remains constant.

  4. D

    The acceleration is zero at the highest point.

  5. E

    The vertical velocity remains constant throughout the flight.

02
True or false
1 point

True or false: The projectile range formula R=v02sin⁡(2θ)gR=\frac{v_0^2\sin(2\theta)}{g} requires equal launch and landing heights when air resistance is neglected.

  1. A

    True

  2. B

    False

03
Written response
1 point

An object moves 12 m12\ \text{m} horizontally in 3.0 s3.0\ \text{s}. What is its average horizontal velocity?

04
Fill in the blank
1 point

The area under a velocity-versus-time graph represents .

05
Choose all
1 point

Which steps are valid in a general two-dimensional constant-acceleration solution? Select all correct choices.

  1. A

    Resolve vectors into perpendicular components.

  2. B

    Use the same time interval for the horizontal and vertical equations.

  3. C

    Replace every velocity component with the object's scalar speed.

  4. D

    Apply one-dimensional constant-acceleration equations independently to the two axes.

  5. E

    Add vector magnitudes directly even when the vectors are not parallel.

06
True or false
1 point

True or false: At the highest point of an ideal projectile's trajectory, its acceleration is still downward.

  1. A

    True

  2. B

    False

07
Written response
1 point

What is the standard term for the velocity of one object measured relative to the reference frame of another object?

08
Fill in the blank
1 point

For ideal projectile motion with air resistance neglected, the horizontal acceleration is ax=a_x=.

09
Choose one
1 point

What physical quantity is represented by the slope of a position-versus-time graph for one component of motion?

  1. A

    The velocity component

  2. B

    The acceleration component

  3. C

    The displacement

  4. D

    The change in velocity

10
Open ended
1 point

A swimmer moves north at 2.5 m/s2.5\ \text{m/s} relative to still water. The river flows east at 1.5 m/s1.5\ \text{m/s}. Determine the swimmer's speed and direction relative to the ground, and explain why the swimmer moves downstream.

11
True or false
1 point

True or false: The formula R=v02sin⁡(2θ)gR=\frac{v_0^2\sin(2\theta)}{g} can be used without modification when a projectile lands at a different height from its launch point.

  1. A

    True

  2. B

    False

12
Choose one
1 point

A vector has magnitude 10.010.0 units and points 37∘37^\circ above the positive x-axis. Which pair of components is closest to the vector's components?

  1. A

    Ax=6.0A_x=6.0, Ay=8.0A_y=8.0

  2. B

    Ax=−8.0A_x=-8.0, Ay=6.0A_y=6.0

  3. C

    Ax=8.0A_x=8.0, Ay=6.0A_y=6.0

  4. D

    Ax=8.0A_x=8.0, Ay=−6.0A_y=-6.0

13
Choose one
1 point

An object has an initial horizontal velocity component of 3 m/s3\,\text{m/s} and a constant horizontal acceleration of 2 m/s22\,\text{m/s}^2. What is its horizontal velocity component after 4 s4\,\text{s}?

  1. A

    5 m/s5\,\text{m/s}

  2. B

    8 m/s8\,\text{m/s}

  3. C

    9 m/s9\,\text{m/s}

  4. D

    11 m/s11\,\text{m/s}

14
Written response
1 point

What is the name of the vector quantity defined by v⃗A/B=v⃗A−v⃗B\vec v_{A/B}=\vec v_A-\vec v_B?

15
Choose one
1 point

At the highest point of an ideal projectile's trajectory, which statement is correct?

  1. A

    Both velocity and acceleration are zero.

  2. B

    The velocity is horizontal and the acceleration is downward.

  3. C

    The velocity is downward and the acceleration is zero.

  4. D

    Both velocity and acceleration are horizontal.

16
Choose one
1 point

A car travels east at 18 m/s18\,\text{m/s}, while a truck travels west at 7 m/s7\,\text{m/s}. What is the car's velocity relative to the truck?

  1. A

    11 m/s11\,\text{m/s} west

  2. B

    25 m/s25\,\text{m/s} west

  3. C

    25 m/s25\,\text{m/s} east

  4. D

    11 m/s11\,\text{m/s} east

17
Written response
1 point

A ball rolls horizontally from a platform at 6.0 m/s6.0\,\text{m/s}. The platform is 1.80 m1.80\,\text{m} above the floor. Neglect air resistance. How far horizontally from the platform does the ball land? Give your answer in metres to the nearest hundredth; answers within 0.01 m are accepted.

18
Choose one
1 point

A swimmer moves north through still water at 2.0 m/s2.0\,\text{m/s}, while a river flows east at 1.0 m/s1.0\,\text{m/s}. What is the swimmer's speed relative to the ground?

  1. A

    1.0 m/s1.0\,\text{m/s}

  2. B

    2.24 m/s2.24\,\text{m/s}

  3. C

    3.0 m/s3.0\,\text{m/s}

  4. D

    4.0 m/s4.0\,\text{m/s}

19
Choose one
1 point

An object moves from position r⃗i=(2i^−j^) m\vec r_i=(2\hat i-\hat j)\ \text{m} to position r⃗f=(−4i^+7j^) m\vec r_f=(-4\hat i+7\hat j)\ \text{m}. Which choice correctly gives its displacement vector, its magnitude, and the quadrant of its direction measured from the positive x-axis?

  1. A

    Δr⃗=6i^−8j^ m\Delta\vec r=6\hat i-8\hat j\ \text{m}, with magnitude 10 m10\ \text{m} in quadrant IV

  2. B

    Δr⃗=−6i^+8j^ m\Delta\vec r=-6\hat i+8\hat j\ \text{m}, with magnitude 10 m10\ \text{m} in quadrant I

  3. C

    Δr⃗=−6i^+8j^ m\Delta\vec r=-6\hat i+8\hat j\ \text{m}, with magnitude 10 m10\ \text{m} in quadrant II

  4. D

    Δr⃗=−6i^−8j^ m\Delta\vec r=-6\hat i-8\hat j\ \text{m}, with magnitude 14 m14\ \text{m} in quadrant III

20
Choose one
1 point

Two displacement vectors are A⃗=(5i^−2j^) m\vec A=(5\hat i-2\hat j)\ \text{m} and B⃗=(−1i^+6j^) m\vec B=(-1\hat i+6\hat j)\ \text{m}. Which choice gives the resultant vector A⃗+B⃗\vec A+\vec B and its magnitude?

  1. A

    6i^+4j^ m6\hat i+4\hat j\ \text{m}, with magnitude 7.2 m7.2\ \text{m}

  2. B

    4i^+4j^ m4\hat i+4\hat j\ \text{m}, with magnitude 5.7 m5.7\ \text{m}

  3. C

    4i^−8j^ m4\hat i-8\hat j\ \text{m}, with magnitude 8.9 m8.9\ \text{m}

  4. D

    −6i^+8j^ m-6\hat i+8\hat j\ \text{m}, with magnitude 10 m10\ \text{m}