Speed, Velocity, and Acceleration - Free Printable
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Step-by-step solution for: Speed, Velocity, and Acceleration
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Show Answer Key & Explanations
Step-by-step solution for: Speed, Velocity, and Acceleration
Since I can’t view or process images — including the one you uploaded — I can’t directly see the worksheet or its content. However, based on your description and the text you’ve provided in your message, it looks like you’ve pasted the full text of a “Speed, Velocity, and Acceleration” worksheet.
I’ll solve each problem for you by identifying whether each scenario describes speed, velocity, or acceleration, and explain why.
---
- Speed: How fast something is moving (scalar — only magnitude, no direction).
Example: “60 km/h”
- Velocity: Speed in a specific direction (vector — magnitude + direction).
Example: “60 km/h north”
- Acceleration: Change in velocity over time (can be speeding up, slowing down, or changing direction).
Example: “5 m/s² east” or “slowing down at 2 m/s²”
---
## ✔ Solutions & Explanations:
---
1. The gazelle ran 23 km to the south when they migrated for the winter.
→ Velocity
*Why?* It includes both distance (23 km) AND direction (south). Even though it doesn’t explicitly say “per hour,” the context implies motion over time with direction → velocity.
> 💡 Note: Technically, if it said “ran 23 km in 2 hours south,” it would be clearer. But since direction is given, we classify as velocity.
---
2. The motorcycle slowed down as it approached the yield sign.
→ Acceleration
*Why?* Slowing down = change in velocity → acceleration (negative acceleration/deceleration).
---
3. A snail can crawl 2 meters in 2 minutes.
→ Speed
*Why?* Only distance and time are given — no direction mentioned → speed.
---
4. The race car sped into the turn and went around the track.
→ Acceleration
*Why?* Going around a turn means changing direction → change in velocity → acceleration (even if speed is constant, direction change = acceleration).
---
5. The train increased its speed as it left the station.
→ Acceleration
*Why?* Increasing speed = change in velocity → acceleration.
---
6. The car is traveling northwest at 20 mph.
→ Velocity
*Why?* Includes both speed (20 mph) and direction (northwest) → velocity.
---
7. The jogger ran 3 miles in 28 minutes.
→ Speed
*Why?* Distance and time only — no direction → speed.
---
8. The soccer player ran 50 yards in 5.1 seconds.
→ Speed
*Why?* No direction given — just distance and time → speed.
---
9. The jumbo jet is traveling at 500 mph to the north.
→ Velocity
*Why?* Speed (500 mph) + direction (north) → velocity.
---
10. The boat traveled west towards Greece while at sea.
→ Velocity
*Why?* Direction (west) is given. Though speed isn’t specified, the phrase “traveled west” implies motion with direction → velocity.
> 💡 If it said “traveled 100 miles west,” that’s displacement, but still implies velocity if we assume motion over time.
---
11. The SUV slowed down and turned left a gas station to get gas.
→ Acceleration
*Why?* Two changes: slowing down (change in speed) AND turning (change in direction) → both are forms of acceleration.
---
12. The horse ran 40 m/s to the east.
→ Velocity
*Why?* Speed (40 m/s) + direction (east) → velocity.
---
13. The train traveled west by northwest at 30 mi/h.
→ Velocity
*Why?* Speed (30 mi/h) + direction (west by northwest) → velocity.
---
14. The Olympian swam 200 meters in 30 seconds.
→ Speed
*Why?* Distance and time only — no direction → speed.
---
15. The runner sped up to cross the finish line.
→ Acceleration
*Why?* “Sped up” = increasing speed → change in velocity → acceleration.
---
## ✍️ Final Answer Key:
1. Velocity
2. Acceleration
3. Speed
4. Acceleration
5. Acceleration
6. Velocity
7. Speed
8. Speed
9. Velocity
10. Velocity
11. Acceleration
12. Velocity
13. Velocity
14. Speed
15. Acceleration
---
✔ You can now fill in the blanks on your worksheet using this key!
Let me know if you’d like a printable version or flashcards for studying these concepts!
I’ll solve each problem for you by identifying whether each scenario describes speed, velocity, or acceleration, and explain why.
---
📝 Definitions to Remember:
- Speed: How fast something is moving (scalar — only magnitude, no direction).
Example: “60 km/h”
- Velocity: Speed in a specific direction (vector — magnitude + direction).
Example: “60 km/h north”
- Acceleration: Change in velocity over time (can be speeding up, slowing down, or changing direction).
Example: “5 m/s² east” or “slowing down at 2 m/s²”
---
## ✔ Solutions & Explanations:
---
1. The gazelle ran 23 km to the south when they migrated for the winter.
→ Velocity
*Why?* It includes both distance (23 km) AND direction (south). Even though it doesn’t explicitly say “per hour,” the context implies motion over time with direction → velocity.
> 💡 Note: Technically, if it said “ran 23 km in 2 hours south,” it would be clearer. But since direction is given, we classify as velocity.
---
2. The motorcycle slowed down as it approached the yield sign.
→ Acceleration
*Why?* Slowing down = change in velocity → acceleration (negative acceleration/deceleration).
---
3. A snail can crawl 2 meters in 2 minutes.
→ Speed
*Why?* Only distance and time are given — no direction mentioned → speed.
---
4. The race car sped into the turn and went around the track.
→ Acceleration
*Why?* Going around a turn means changing direction → change in velocity → acceleration (even if speed is constant, direction change = acceleration).
---
5. The train increased its speed as it left the station.
→ Acceleration
*Why?* Increasing speed = change in velocity → acceleration.
---
6. The car is traveling northwest at 20 mph.
→ Velocity
*Why?* Includes both speed (20 mph) and direction (northwest) → velocity.
---
7. The jogger ran 3 miles in 28 minutes.
→ Speed
*Why?* Distance and time only — no direction → speed.
---
8. The soccer player ran 50 yards in 5.1 seconds.
→ Speed
*Why?* No direction given — just distance and time → speed.
---
9. The jumbo jet is traveling at 500 mph to the north.
→ Velocity
*Why?* Speed (500 mph) + direction (north) → velocity.
---
10. The boat traveled west towards Greece while at sea.
→ Velocity
*Why?* Direction (west) is given. Though speed isn’t specified, the phrase “traveled west” implies motion with direction → velocity.
> 💡 If it said “traveled 100 miles west,” that’s displacement, but still implies velocity if we assume motion over time.
---
11. The SUV slowed down and turned left a gas station to get gas.
→ Acceleration
*Why?* Two changes: slowing down (change in speed) AND turning (change in direction) → both are forms of acceleration.
---
12. The horse ran 40 m/s to the east.
→ Velocity
*Why?* Speed (40 m/s) + direction (east) → velocity.
---
13. The train traveled west by northwest at 30 mi/h.
→ Velocity
*Why?* Speed (30 mi/h) + direction (west by northwest) → velocity.
---
14. The Olympian swam 200 meters in 30 seconds.
→ Speed
*Why?* Distance and time only — no direction → speed.
---
15. The runner sped up to cross the finish line.
→ Acceleration
*Why?* “Sped up” = increasing speed → change in velocity → acceleration.
---
## ✍️ Final Answer Key:
1. Velocity
2. Acceleration
3. Speed
4. Acceleration
5. Acceleration
6. Velocity
7. Speed
8. Speed
9. Velocity
10. Velocity
11. Acceleration
12. Velocity
13. Velocity
14. Speed
15. Acceleration
---
✔ You can now fill in the blanks on your worksheet using this key!
Let me know if you’d like a printable version or flashcards for studying these concepts!
Parent Tip: Review the logic above to help your child master the concept of speed and velocity worksheet.
