Speed, Velocity, & Acceleration Color-by-Number by Science - Free Printable

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

- Speed = distance / time
- Velocity = distance / time (with direction)

We'll use these formulas to answer all questions.

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1. What is the velocity of a car that traveled a total of 75 kilometers north in 1.5 hours?

Given:
- Distance = 75 km
- Time = 1.5 hours
- Direction = North

Velocity = distance / time = 75 km / 1.5 hr = 50 km/hr north

✔ Answer: 50 km/hr north

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2. What is the velocity of a plane that traveled 3,000 miles from New York to California in 5.0 hours?

Given:
- Distance = 3,000 miles
- Time = 5.0 hours
- Direction: From NY to CA (implied as westward)

Velocity = 3,000 mi / 5.0 hr = 600 miles/hr west

✔ Answer: 600 miles/hr west

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3. John took 45 minutes to bicycle to his grandmother’s house, a total of four kilometers. What was his velocity in km/hr?

Given:
- Distance = 4 km
- Time = 45 minutes = 45/60 = 0.75 hours

Velocity = 4 km / 0.75 hr = 5.33 km/hr

(Note: We assume direction is not specified, so we report speed, but since it asks for velocity, we can say "in the direction toward grandmother’s house" — but without specific direction, we’ll just give magnitude.)

✔ Answer: 5.33 km/hr (toward grandmother’s house)

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4. It took 3.5 hours for a train to travel the distance between two cities at a velocity of 120 miles/hr. How many miles lie between the two cities?

Use: Distance = Velocity × Time

= 120 miles/hr × 3.5 hr = 420 miles

✔ Answer: 420 miles

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5. How long would it take for a car to travel a distance of 200 kilometers if it is traveling at a velocity of 55 km/hr?

Use: Time = Distance / Velocity

= 200 km / 55 km/hr ≈ 3.636 hours

Convert to minutes: 0.636 × 60 ≈ 38.2 minutes → So about 3 hours and 38 minutes

But since question asks for time, we can leave in hours or convert.

✔ Answer: 3.64 hours (or approximately 3 hours 38 minutes)

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6. A car is traveling at 100 km/hr. How many hours will it take to cover a distance of 750 km?

Time = Distance / Speed

= 750 km / 100 km/hr = 7.5 hours

✔ Answer: 7.5 hours

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7. A plane traveled for about 2.5 hours at a velocity of 1200 km/hr. What distance did it travel?

Distance = Velocity × Time

= 1200 km/hr × 2.5 hr = 3,000 km

✔ Answer: 3,000 km

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8. A girl is pedaling her bicycle at a velocity of 0.10 km/min. How far will she travel in two hours?

First, convert 2 hours to minutes:
2 hr × 60 = 120 minutes

Distance = Velocity × Time
= 0.10 km/min × 120 min = 12 km

✔ Answer: 12 km

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9. An ant carries food at a speed of 1 cm/s. How long will it take the ant to carry a cookie crumb from the kitchen table to the ant hill, a distance of 50 m? Express your answer in seconds, minutes, and hours.

Given:
- Speed = 1 cm/s
- Distance = 50 m = 5000 cm (since 1 m = 100 cm)

Time = Distance / Speed
= 5000 cm / 1 cm/s = 5000 seconds

Now convert:
- Minutes: 5000 ÷ 60 ≈ 83.33 minutes
- Hours: 83.33 ÷ 60 ≈ 1.39 hours

✔ Answer:
- Seconds: 5000 s
- Minutes: 83.33 min
- Hours: 1.39 hr

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10. The water in the Buffalo River flows at an average speed of 5 km/hr. If you and a friend decide to canoe down the river a distance of 16 kilometers, how many hours and minutes will it take?

Assuming you're going with the current, speed = 5 km/hr

Time = Distance / Speed
= 16 km / 5 km/hr = 3.2 hours

Convert 0.2 hours to minutes: 0.2 × 60 = 12 minutes

So, 3 hours and 12 minutes

✔ Answer: 3 hours and 12 minutes

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✔ Final Answers Summary:

1. 50 km/hr north
2. 600 miles/hr west
3. 5.33 km/hr
4. 420 miles
5. 3.64 hours (or 3 h 38 min)
6. 7.5 hours
7. 3,000 km
8. 12 km
9. 5000 seconds, 83.33 minutes, 1.39 hours
10. 3 hours and 12 minutes

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