Speed, Velocity, and Acceleration Problems - Free Printable

Let’s go through each problem one by one. I’ll solve them step by step so you can follow along easily.

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1. What is the formula for speed?

Speed tells us how fast something is moving. It’s calculated by dividing the distance traveled by the time it took.

✔ Formula:
Speed = Distance ÷ Time

You can also write it as:
s = d / t

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2. Cara rode her scooter 325 meters in 80 seconds. What is her average speed?

We use the formula:
Speed = Distance ÷ Time

Plug in the numbers:
Distance = 325 meters
Time = 80 seconds

So:
Speed = 325 ÷ 80

Let’s calculate that:
325 ÷ 80 = 4.0625

✔ Answer: 4.06 m/s (rounded to two decimal places)

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3. Eli walked 70 meters in 3 minutes, then another 15 minutes to walk another 400 meters. What is her average speed?

Average speed means total distance divided by total time.

First, find total distance:
70 meters + 400 meters = 470 meters

Now, total time:
3 minutes + 15 minutes = 18 minutes

But speed is usually in meters per second (m/s), so let’s convert minutes to seconds:
18 minutes × 60 = 1080 seconds

Now calculate speed:
Speed = 470 ÷ 1080 ≈ 0.435 m/s

✔ Answer: 0.44 m/s (rounded to two decimal places)

*(Note: If your teacher wants it in meters per minute, it would be 470 ÷ 18 ≈ 26.11 m/min — but unless specified, we use m/s.)*

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4. What is the formula used to find distance?

If you know speed and time, you can find distance by multiplying them.

✔ Formula:
Distance = Speed × Time

Or:
d = s × t

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5. A bicycle’s speed is 1.7 meters/second and she covers the distance in 65 seconds. How far did she travel?

Use:
Distance = Speed × Time

Speed = 1.7 m/s
Time = 65 s

Distance = 1.7 × 65

Calculate:
1.7 × 65 = (1 × 65) + (0.7 × 65) = 65 + 45.5 = 110.5

✔ Answer: 110.5 meters

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6. A bicyclist is on his bike for 24 minutes. He covers a speed of 0.2 meters/minute. What is the distance he traveled?

Wait — this says “covers a speed of 0.2 meters/minute” — that doesn’t make sense. Speed should be in meters per minute or meters per second, but “covers a speed” is odd wording.

I think they meant: He travels at a speed of 0.2 meters per minute.

Then:

Distance = Speed × Time
= 0.2 m/min × 24 min
= 4.8 meters

✔ Answer: 4.8 meters

*(Note: This is very slow — like crawling! But mathematically correct based on given numbers.)*

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7. What is the formula used to find time?

If you know distance and speed, time is distance divided by speed.

✔ Formula:
Time = Distance ÷ Speed

Or:
t = d / s

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8. If Joseph ran a distance of 475 m at an average speed of 2 m/s, how much time did he take?

Use:
Time = Distance ÷ Speed

Distance = 475 m
Speed = 2 m/s

Time = 475 ÷ 2 = 237.5 seconds

✔ Answer: 237.5 seconds

*(You could convert to minutes: 237.5 ÷ 60 ≈ 3.96 minutes — but unless asked, leave in seconds.)*

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9. A snail crosses at an average speed of 1.8 cm/s. If it covers a distance of 36 cm, how long did it take the snail?

Use:
Time = Distance ÷ Speed

Distance = 36 cm
Speed = 1.8 cm/s

Time = 36 ÷ 1.8

Let’s calculate:
36 ÷ 1.8 = 360 ÷ 18 = 20

✔ Answer: 20 seconds

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Final Answer:
1. Speed = Distance ÷ Time
2. 4.06 m/s
3. 0.44 m/s
4. Distance = Speed × Time
5. 110.5 meters
6. 4.8 meters
7. Time = Distance ÷ Speed
8. 237.5 seconds
9. 20 seconds