Displacement, Velocity, and Acceleration Practice

Sample questions

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1. Sample 1difficulty 1/5

   A rock is dropped from rest. After how long is its speed $30~\text{m/s}$? (Use $g \approx 10~\text{m/s}^2$.)

   • A

     $5~\text{s}$

   • B

     $3~\text{s}$

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   • C

     $2~\text{s}$

   • D

     $1~\text{s}$

   Why

   $t = v/g = 30/10 = 3~\text{s}$.

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2. Sample 2difficulty 1/5

   An object is released from rest. After $2.0~\text{s}$, what is its speed ($g \approx 10~\text{m/s}^2$, ignore air resistance)?

   • A

     $20~\text{m/s}$

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   • B

     $40~\text{m/s}$

   • C

     $10~\text{m/s}$

   • D

     $5~\text{m/s}$

   Why

   $v = g t = (10)(2.0) = 20~\text{m/s}$, directed downward.

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3. Sample 3difficulty 1/5

   A motorcycle accelerates from $5.0~\text{m/s}$ at $3.0~\text{m/s}^2$ for $4.0~\text{s}$. What is its final speed?

   • A

     $12~\text{m/s}$

   • B

     $20~\text{m/s}$

   • C

     $32~\text{m/s}$

   • D

     $17~\text{m/s}$

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   Why

   $v = v_0 + a t = 5.0 + (3.0)(4.0) = 17~\text{m/s}$.

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4. Sample 4difficulty 1/5

   A drone flies in a straight line at a constant $20~\text{m/s}$ for $12~\text{s}$. What is its displacement?

   • A

     $180~\text{m}$

   • B

     $120~\text{m}$

   • C

     $320~\text{m}$

   • D

     $240~\text{m}$

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   Why

   At constant velocity, $\Delta x = v\,\Delta t = (20)(12) = 240~\text{m}$.

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5. Sample 5difficulty 1/5

   Starting from rest, an object accelerates at $4.0~\text{m/s}^2$ for $5.0~\text{s}$. How far does it travel?

   • A

     $100~\text{m}$

   • B

     $20~\text{m}$

   • C

     $10~\text{m}$

   • D

     $50~\text{m}$

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   Why

   $\Delta x = \tfrac{1}{2} a t^2 = \tfrac{1}{2}(4.0)(25) = 50~\text{m}$.

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