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"Speed & Velocity" with several problems related to speed and velocity. Let's go through each problem one by one, solve them step by step, and explain the solutions.
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🔹 Formulas Given:
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Speed = distance / time
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Velocity = displacement / time (with direction)
Let’s solve each question:
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✔ Problem 6:
What is the velocity of a rocket that goes 700 kilometers north in 25 seconds?
#### Step 1: Identify known values
- Displacement = 700 km
north
- Time = 25 seconds
#### Step 2: Use the velocity formula
> Velocity = displacement / time
But note: units must be consistent. We have kilometers and seconds. Let's convert to standard units (km/h or m/s). Since the answer is likely expected in km/h or m/s, let's do both.
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#### Option A: Convert to km/h
We know:
- 1 hour = 3600 seconds
So:
> Velocity = (700 km) / (25 s) = 28 km/s
Now convert km/s to km/h:
> 28 km/s × 3600 s/h =
100,800 km/h
✔ So, the velocity is
100,800 km/h north
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#### Option B: In m/s (more scientific)
- 700 km = 700,000 meters
- Time = 25 seconds
> Velocity = 700,000 m / 25 s =
28,000 m/s north
✔ So, velocity is
28,000 m/s north
👉 But since the original unit is km and time is in seconds,
100,800 km/h north is probably expected.
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✔ Problem 7:
How much time does it take a person to walk 8 kilometers east at a velocity of 4 kilometers per hour?
Use:
> Time = Distance / Speed
Given:
- Distance = 8 km
- Speed = 4 km/h
> Time = 8 km / 4 km/h =
2 hours
✔ Answer:
2 hours
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✔ Problem 8:
A motorcycle travels 300 miles south in 3 hours. What is its average velocity?
Use:
> Velocity = displacement / time
- Displacement = 300 miles
south
- Time = 3 hours
> Velocity = 300 miles / 3 h =
100 miles per hour south
✔ Answer:
100 mph south
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✔ Problem 9:
If the velocity of a car is 48 kilometers per hour west, how far can it travel in 0.5 hours?
Use:
> Distance = Velocity × Time
- Velocity = 48 km/h west
- Time = 0.5 h
> Distance = 48 km/h × 0.5 h =
24 km
Since velocity includes direction, we include it:
✔ Answer:
24 kilometers west
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✔ Problem 10:
An airplane travels 4,425 kilometers west in 5 hours. What is its average velocity?
Use:
> Velocity = displacement / time
- Displacement = 4,425 km west
- Time = 5 hours
> Velocity = 4,425 km / 5 h =
885 km/h west
✔ Answer:
885 km/h west
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✔ Final Answers Summary:
| Question | Answer |
|--------|--------|
| 6 | 100,800 km/h north (or 28,000 m/s north) |
| 7 | 2 hours |
| 8 | 100 mph south |
| 9 | 24 km west |
| 10 | 885 km/h west |
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🔍 Key Concepts Recap:
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Speed is scalar (only magnitude): e.g., 60 km/h
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Velocity is vector (magnitude + direction): e.g., 60 km/h north
- Always include
direction when calculating velocity.
- Make sure units are consistent (convert if needed).
Let me know if you'd like these answers formatted for printing or explained further!
Parent Tip: Review the logic above to help your child master the concept of speed and velocity problems worksheet.
