Velocity/Acceleration Worksheets - Free Printable

Let's solve each problem step by step using the basic equations for velocity and acceleration:

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Key Equations:

- Speed / Velocity:
$$
v = \frac{d}{t}
$$
where:
- $ v $ = velocity (m/s or km/h)
- $ d $ = distance (m or km)
- $ t $ = time (s or h)

- Acceleration:
$$
a = \frac{\Delta v}{\Delta t} = \frac{v_f - v_i}{t}
$$
where:
- $ a $ = acceleration (m/s²)
- $ v_f $ = final velocity
- $ v_i $ = initial velocity
- $ t $ = time (s)

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Now let's solve each question:

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1. What is the speed of a rocket that travels 9000 meters in 12.12 seconds?

$$
v = \frac{d}{t} = \frac{9000\,\text{m}}{12.12\,\text{s}} \approx 742.57\,\text{m/s}
$$

✔ Answer: Approximately 742.6 m/s

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2. What is the speed of a jet plane that travels 528 meters in 4 seconds?

$$
v = \frac{528}{4} = 132\,\text{m/s}
$$

✔ Answer: 132 m/s

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3. After an impact involving a non-functioning satellite, a paint chip leaves the surface of the satellite at a speed of 96 m/s. After 17 seconds, how far has the chip landed?

Assuming no acceleration (constant velocity), use:
$$
d = v \cdot t = 96\,\text{m/s} \times 17\,\text{s} = 1632\,\text{m}
$$

✔ Answer: 1632 meters

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4. The space shuttle Endeavor is launched to altitude of 500,000 m above the surface of the earth. The shuttle travels at an average rate of 700 m/s. How long will it take for Endeavor to reach its orbit?

$$
t = \frac{d}{v} = \frac{500,000\,\text{m}}{700\,\text{m/s}} \approx 714.29\,\text{s}
$$

Convert to minutes: $ 714.29 \div 60 \approx 11.9\,\text{minutes} $

✔ Answer: Approximately 714.3 seconds or 11.9 minutes

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5. How long will your trip take (in hours) if you travel 350 km at an average speed of 80 km/hr?

$$
t = \frac{d}{v} = \frac{350\,\text{km}}{80\,\text{km/h}} = 4.375\,\text{hours}
$$

✔ Answer: 4.375 hours (or 4 hours and 22.5 minutes)

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6. How many seconds will it take for a satellite to travel 450 km at a rate of 120 m/s?

First convert 450 km to meters:
$$
450\,\text{km} = 450,000\,\text{m}
$$

Now:
$$
t = \frac{450,000}{120} = 3750\,\text{seconds}
$$

✔ Answer: 3750 seconds

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7. What is the speed of a walking person in m/s if the person travels 1000 m in 20 minutes?

Convert 20 minutes to seconds:
$$
20 \times 60 = 1200\,\text{seconds}
$$

$$
v = \frac{1000\,\text{m}}{1200\,\text{s}} = 0.833\,\text{m/s}
$$

✔ Answer: 0.833 m/s

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8. How far (in meters) will you travel in 3 minutes running at a rate of 6 m/s?

Convert 3 minutes to seconds:
$$
3 \times 60 = 180\,\text{s}
$$

$$
d = v \cdot t = 6\,\text{m/s} \times 180\,\text{s} = 1080\,\text{m}
$$

✔ Answer: 1080 meters

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10. In 0.5 seconds, a projectile goes from 0 to 300 m/s. What is the acceleration of the projectile?

$$
a = \frac{v_f - v_i}{t} = \frac{300 - 0}{0.5} = 600\,\text{m/s}^2
$$

✔ Answer: 600 m/s²

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11. A meteoroid changed velocity from 1.0 km/s to 1.8 km/s in 0.03 seconds. What is the acceleration of the meteoroid?

First, ensure units are consistent. Convert km/s to m/s:
- $ 1.0\,\text{km/s} = 1000\,\text{m/s} $
- $ 1.8\,\text{km/s} = 1800\,\text{m/s} $

$$
a = \frac{1800 - 1000}{0.03} = \frac{800}{0.03} \approx 26,666.67\,\text{m/s}^2
$$

✔ Answer: 26,666.67 m/s²

(Alternatively, keep in km/s: $ a = \frac{0.8}{0.03} \approx 26.67\,\text{km/s}^2 $, but standard unit is m/s².)

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12. The space shuttle releases a space telescope into orbit around the earth. The telescope goes from being stationary to traveling at a speed of 1700 m/s in 25 seconds. What is the acceleration of the satellite?

$$
a = \frac{v_f - v_i}{t} = \frac{1700 - 0}{25} = 68\,\text{m/s}^2
$$

✔ Answer: 68 m/s²

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✔ Final Answers Summary:

| Problem | Answer |
|--------|--------|
| 1 | 742.6 m/s |
| 2 | 132 m/s |
| 3 | 1632 m |
| 4 | 714.3 s |
| 5 | 4.375 hours |
| 6 | 3750 s |
| 7 | 0.833 m/s |
| 8 | 1080 m |
| 10 | 600 m/s² |
| 11 | 26,666.67 m/s² |
| 12 | 68 m/s² |

Let me know if you'd like these formatted as a printable worksheet!