Physical science worksheet covering speed, velocity, and acceleration concepts.
Review worksheet on speed, velocity, and acceleration with questions and definitions for physical science.
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Step-by-step solution for: Speed Velocity Acceleration - Foothill High School
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Show Answer Key & Explanations
Step-by-step solution for: Speed Velocity Acceleration - Foothill High School
Let's go through each question on the Review Worksheet – Speed, Velocity, Acceleration and solve them step by step with clear explanations.
---
1. Define speed.
Answer: Speed is the rate at which an object covers distance. It is a scalar quantity, meaning it has only magnitude (size), no direction.
Example: A car traveling at 60 km/h has a speed of 60 kilometers per hour.
---
2. Define velocity.
Answer: Velocity is the rate at which an object changes its position. It is a vector quantity, meaning it has both magnitude and direction.
Example: A car moving at 60 km/h north has a velocity of 60 km/h north.
---
3. What is the formula for speed or velocity?
Answer:
- Speed: \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \)
- Velocity: \( \text{Velocity} = \frac{\text{Displacement}}{\text{Time}} \)
> Note: Displacement is the straight-line distance from start to finish (includes direction), while distance is total path traveled.
---
4. What is the unit of speed, if distance is in meters and time is in minutes?
Answer:
If distance is in meters (m) and time is in minutes (min), then the unit of speed is:
meters per minute (m/min)
---
5. What is the speed of a truck that travels 10 km in 10 minutes?
Given:
- Distance = 10 km
- Time = 10 minutes
We can compute speed in km/min first:
\[
\text{Speed} = \frac{10\ \text{km}}{10\ \text{min}} = 1\ \text{km/min}
\]
But usually, we want it in km/h. Since 1 hour = 60 minutes:
\[
1\ \text{km/min} = 60\ \text{km/h}
\]
✔ Answer: 60 km/h
---
6. What distance is traveled by a police car that moves at a constant speed of 1.5 km/minute for 5.0 minutes?
Formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
\[
= 1.5\ \text{km/min} \times 5.0\ \text{min} = 7.5\ \text{km}
\]
✔ Answer: 7.5 km
---
7. What is the average speed of a commercial jet that travels from New York to Los Angeles (4800 km) in 6.00 hours?
Formula:
\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\]
\[
= \frac{4800\ \text{km}}{6.00\ \text{h}} = 800\ \text{km/h}
\]
✔ Answer: 800 km/h
---
8. A comet is cruising through the solar system at a speed of 50,000 kilometers per hour for 4 hours time. What is the total distance traveled by the comet during this time?
Formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
\[
= 50,000\ \text{km/h} \times 4\ \text{h} = 200,000\ \text{km}
\]
✔ Answer: 200,000 km
---
9. How much time does it take for a bird flying at a speed of 45 miles per hour to travel a distance of 1,800 miles?
Formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
\[
= \frac{1800\ \text{miles}}{45\ \text{mph}} = 40\ \text{hours}
\]
✔ Answer: 40 hours
---
10. Define acceleration.
Answer: Acceleration is the rate at which an object's velocity changes over time. It is a vector quantity (has magnitude and direction).
It can be due to speeding up, slowing down, or changing direction.
---
11. If velocity is in m/s and time is in sec, what is the unit of acceleration?
Answer:
Acceleration = Change in velocity / Time
\[
\text{Unit} = \frac{\text{m/s}}{\text{s}} = \text{m/s}^2
\]
✔ Answer: meters per second squared (m/s²)
---
12. Write the formula for acceleration.
Answer:
\[
\text{Acceleration} = \frac{\text{Final Velocity} - \text{Initial Velocity}}{\text{Time}}
\]
Or:
\[
a = \frac{v_f - v_i}{t}
\]
Where:
- \( a \) = acceleration
- \( v_f \) = final velocity
- \( v_i \) = initial velocity
- \( t \) = time interval
---
| Question | Answer |
|--------|--------|
| 1 | Speed is the rate of distance covered. Scalar. |
| 2 | Velocity is speed with direction. Vector. |
| 3 | Speed = Distance / Time; Velocity = Displacement / Time |
| 4 | m/min |
| 5 | 60 km/h |
| 6 | 7.5 km |
| 7 | 800 km/h |
| 8 | 200,000 km |
| 9 | 40 hours |
| 10 | Acceleration is change in velocity over time. |
| 11 | m/s² |
| 12 | \( a = \frac{v_f - v_i}{t} \) |
Let me know if you'd like this worksheet formatted as a printable PDF or need help with any other problems!
---
Speed and Velocity
1. Define speed.
Answer: Speed is the rate at which an object covers distance. It is a scalar quantity, meaning it has only magnitude (size), no direction.
Example: A car traveling at 60 km/h has a speed of 60 kilometers per hour.
---
2. Define velocity.
Answer: Velocity is the rate at which an object changes its position. It is a vector quantity, meaning it has both magnitude and direction.
Example: A car moving at 60 km/h north has a velocity of 60 km/h north.
---
3. What is the formula for speed or velocity?
Answer:
- Speed: \( \text{Speed} = \frac{\text{Distance}}{\text{Time}} \)
- Velocity: \( \text{Velocity} = \frac{\text{Displacement}}{\text{Time}} \)
> Note: Displacement is the straight-line distance from start to finish (includes direction), while distance is total path traveled.
---
4. What is the unit of speed, if distance is in meters and time is in minutes?
Answer:
If distance is in meters (m) and time is in minutes (min), then the unit of speed is:
meters per minute (m/min)
---
5. What is the speed of a truck that travels 10 km in 10 minutes?
Given:
- Distance = 10 km
- Time = 10 minutes
We can compute speed in km/min first:
\[
\text{Speed} = \frac{10\ \text{km}}{10\ \text{min}} = 1\ \text{km/min}
\]
But usually, we want it in km/h. Since 1 hour = 60 minutes:
\[
1\ \text{km/min} = 60\ \text{km/h}
\]
✔ Answer: 60 km/h
---
6. What distance is traveled by a police car that moves at a constant speed of 1.5 km/minute for 5.0 minutes?
Formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
\[
= 1.5\ \text{km/min} \times 5.0\ \text{min} = 7.5\ \text{km}
\]
✔ Answer: 7.5 km
---
7. What is the average speed of a commercial jet that travels from New York to Los Angeles (4800 km) in 6.00 hours?
Formula:
\[
\text{Average Speed} = \frac{\text{Total Distance}}{\text{Total Time}}
\]
\[
= \frac{4800\ \text{km}}{6.00\ \text{h}} = 800\ \text{km/h}
\]
✔ Answer: 800 km/h
---
8. A comet is cruising through the solar system at a speed of 50,000 kilometers per hour for 4 hours time. What is the total distance traveled by the comet during this time?
Formula:
\[
\text{Distance} = \text{Speed} \times \text{Time}
\]
\[
= 50,000\ \text{km/h} \times 4\ \text{h} = 200,000\ \text{km}
\]
✔ Answer: 200,000 km
---
9. How much time does it take for a bird flying at a speed of 45 miles per hour to travel a distance of 1,800 miles?
Formula:
\[
\text{Time} = \frac{\text{Distance}}{\text{Speed}}
\]
\[
= \frac{1800\ \text{miles}}{45\ \text{mph}} = 40\ \text{hours}
\]
✔ Answer: 40 hours
---
Acceleration
10. Define acceleration.
Answer: Acceleration is the rate at which an object's velocity changes over time. It is a vector quantity (has magnitude and direction).
It can be due to speeding up, slowing down, or changing direction.
---
11. If velocity is in m/s and time is in sec, what is the unit of acceleration?
Answer:
Acceleration = Change in velocity / Time
\[
\text{Unit} = \frac{\text{m/s}}{\text{s}} = \text{m/s}^2
\]
✔ Answer: meters per second squared (m/s²)
---
12. Write the formula for acceleration.
Answer:
\[
\text{Acceleration} = \frac{\text{Final Velocity} - \text{Initial Velocity}}{\text{Time}}
\]
Or:
\[
a = \frac{v_f - v_i}{t}
\]
Where:
- \( a \) = acceleration
- \( v_f \) = final velocity
- \( v_i \) = initial velocity
- \( t \) = time interval
---
✔ Final Answers Summary:
| Question | Answer |
|--------|--------|
| 1 | Speed is the rate of distance covered. Scalar. |
| 2 | Velocity is speed with direction. Vector. |
| 3 | Speed = Distance / Time; Velocity = Displacement / Time |
| 4 | m/min |
| 5 | 60 km/h |
| 6 | 7.5 km |
| 7 | 800 km/h |
| 8 | 200,000 km |
| 9 | 40 hours |
| 10 | Acceleration is change in velocity over time. |
| 11 | m/s² |
| 12 | \( a = \frac{v_f - v_i}{t} \) |
Let me know if you'd like this worksheet formatted as a printable PDF or need help with any other problems!
Parent Tip: Review the logic above to help your child master the concept of speed velocity and acceleration worksheet.
