Velocity calculation worksheet with real-world word problems and illustrations.

Let's solve each problem step by step using the formula:

$$
\text{Velocity} = \frac{\text{Distance}}{\text{Time}} \quad \text{or} \quad \text{Time} = \frac{\text{Distance}}{\text{Velocity}} \quad \text{or} \quad \text{Distance} = \text{Velocity} \times \text{Time}
$$

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1. A car travels 120 miles in 2 hours. What is its average velocity?

$$
\text{Velocity} = \frac{120 \text{ mi}}{2 \text{ h}} = 60 \text{ mph}
$$

✔ Answer: 60 mph

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2. A plane travels 1,280 miles from Boston to Orlando in 2.5 hours. What was its average velocity?

$$
\text{Velocity} = \frac{1280 \text{ mi}}{2.5 \text{ h}} = 512 \text{ mph}
$$

✔ Answer: 512 mph

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3. If a car averages 60 mph, how far will it go in 4 hours?

$$
\text{Distance} = 60 \text{ mph} \times 4 \text{ h} = 240 \text{ miles}
$$

✔ Answer: 240 miles

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4. In 1927, Charles Lindbergh flew solo across the Atlantic 3,600 miles in 33 hours and 30 minutes. What was his velocity?

First, convert 33 hours 30 minutes to hours:
$$
30 \text{ min} = 0.5 \text{ h} \Rightarrow 33.5 \text{ h}
$$

$$
\text{Velocity} = \frac{3600 \text{ mi}}{33.5 \text{ h}} \approx 107.43 \text{ mph}
$$

✔ Answer: ~107.4 mph (rounded to nearest tenth)

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5. In 1983, the Wright Brothers' first flight was 852 ft in 59 sec. In ft/sec, what was its velocity?

$$
\text{Velocity} = \frac{852 \text{ ft}}{59 \text{ sec}} \approx 14.44 \text{ ft/sec}
$$

✔ Answer: ~14.4 ft/sec

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6. A car can travel from Worcester to Providence 45 miles in an hour and a half. What was its velocity?

Convert 1.5 hours to time:
$$
\text{Velocity} = \frac{45 \text{ mi}}{1.5 \text{ h}} = 30 \text{ mph}
$$

✔ Answer: 30 mph

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7. A mountain biker travels at 5 mi/hr. How long will it take the mountain biker to travel 30 miles?

$$
\text{Time} = \frac{30 \text{ mi}}{5 \text{ mi/hr}} = 6 \text{ hours}
$$

✔ Answer: 6 hours

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8. A car travels at 60 miles per hour. How far does it go in 1 minute?

1 hour = 60 minutes → In 1 minute, distance traveled:
$$
\frac{60 \text{ mi}}{60} = 1 \text{ mile}
$$

✔ Answer: 1 mile

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9. A kangaroo can leap at 60 km/h. How far will it leap in 10 seconds?

Convert 60 km/h to m/s or km/min.

First, convert 60 km/h to km/s:
$$
60 \text{ km/h} = \frac{60}{3600} = 0.01667 \text{ km/s}
$$

Now, in 10 seconds:
$$
\text{Distance} = 0.01667 \text{ km/s} \times 10 \text{ s} = 0.1667 \text{ km} = 166.7 \text{ meters}
$$

Alternatively:
- 60 km/h = 60,000 meters per hour
- In 1 second: $ \frac{60,000}{3600} = 16.67 $ m/s
- In 10 seconds: $ 16.67 \times 10 = 166.7 $ meters

✔ Answer: 166.7 meters

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10. Apollo 11 astronauts traveled 238,000 miles in 3 days. What was their velocity in miles per hour?

Convert 3 days to hours:
$$
3 \text{ days} = 3 \times 24 = 72 \text{ hours}
$$

$$
\text{Velocity} = \frac{238,000 \text{ mi}}{72 \text{ h}} \approx 3,291.67 \text{ mph}
$$

✔ Answer: ~3,292 mph (rounded to nearest whole number)

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✔ Final Answers Summary:

1. 60 mph
2. 512 mph
3. 240 miles
4. ~107.4 mph
5. ~14.4 ft/sec
6. 30 mph
7. 6 hours
8. 1 mile
9. 166.7 meters
10. ~3,292 mph

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