QUESTION IMAGE
Question
identify if the following is speed, velocity or acceleration.
a car driving on a race track that takes corners at a constant speed
a balloon racer traveling 65 cm/s
a bird flying 10 m/s south
a biker traveling faster down a hill
a skateboard coming to a sudden stop when it hits a rock
a box sliding to the left at 5 m/s
a toy car traveling 1.5 m/s
To solve this, we recall the definitions:
- Speed: Magnitude of motion (no direction).
- Velocity: Speed with a direction.
- Acceleration: Change in velocity (speed, direction, or both).
1. A car driving on a race track that takes corners at a constant speed
- Speed: Constant speed (magnitude), so \(\boldsymbol{\text{speed}}\) (but also, since direction changes, there is acceleration). Wait, no—wait: The question is to identify if it is speed, velocity, or acceleration. Wait, the car has constant speed but changing direction (due to corners), so velocity changes (acceleration). But let's re-express:
- Speed: The magnitude (constant), so speed applies. But velocity is speed + direction; since direction changes, velocity changes (so acceleration). Wait, the problem is to check which category (speed, velocity, acceleration) each scenario belongs to. Let's go step by step.
2. A balloon racer traveling 65 cm/s
- No direction given, so only magnitude (speed). So \(\boldsymbol{\text{speed}}\).
3. A bird flying 10 m/hr south
- Speed (10 m/hr) + direction (south) → \(\boldsymbol{\text{velocity}}\).
4. A biker traveling faster down a hill
- Speed is increasing (change in speed) → \(\boldsymbol{\text{acceleration}}\) (since acceleration is change in velocity, and speed is part of velocity).
5. A skateboard coming to a sudden stop when it hits a rock
- Speed decreases to 0 (change in speed) → \(\boldsymbol{\text{acceleration}}\) (deceleration, a type of acceleration).
6. A box sliding to the left at 5 m/s
- Speed (5 m/s) + direction (left) → \(\boldsymbol{\text{velocity}}\).
7. A toy car traveling 1.5 m/s
- No direction given, so magnitude (speed) → \(\boldsymbol{\text{speed}}\).
Now, we mark each:
| Scenario | Speed | Velocity | Acceleration |
|---|---|---|---|
| Balloon racer (65 cm/s) | ✔️ | ||
| Bird (10 m/hr south) | ✔️ | ||
| Biker (faster down hill) | ✔️ | ||
| Skateboard (hits rock, stops) | ✔️ | ||
| Box (left, 5 m/s) | ✔️ | ||
| Toy car (1.5 m/s) | ✔️ |
for Each:
- Speed: Only magnitude (no direction).
- Velocity: Speed + direction.
- Acceleration: Change in velocity (speed, direction, or both).
Final Table (Marked):
| Scenario | Speed | Velocity | Acceleration |
|---|---|---|---|
| A balloon racer traveling 65 cm/s | ✔️ | ||
| A bird flying 10 m/hr south | ✔️ | ||
| A biker traveling faster down a hill | ✔️ | ||
| A skateboard coming to a sudden stop... | ✔️ | ||
| A box sliding to the left at 5 m/s | ✔️ | ||
| A toy car traveling 1.5 m/s | ✔️ |
(Note: For the car, it has constant speed (so speed is present) but changing direction (so acceleration is present, as velocity changes).)
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for Each:
- Speed: Only magnitude (no direction).
- Velocity: Speed + direction.
- Acceleration: Change in velocity (speed, direction, or both).
Final Table (Marked):
| Scenario | Speed | Velocity | Acceleration |
|---|---|---|---|
| A balloon racer traveling 65 cm/s | ✔️ | ||
| A bird flying 10 m/hr south | ✔️ | ||
| A biker traveling faster down a hill | ✔️ | ||
| A skateboard coming to a sudden stop... | ✔️ | ||
| A box sliding to the left at 5 m/s | ✔️ | ||
| A toy car traveling 1.5 m/s | ✔️ |
(Note: For the car, it has constant speed (so speed is present) but changing direction (so acceleration is present, as velocity changes).)