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A car can accelerate from rest to 28 m/s in 4 seconds find the average acceleration and what distance does it travel in that time?
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A car can accelerate from rest to 28 m/s in 4 seconds find the average...
Average Acceleration Calculation
To find the average acceleration of the car, we use the formula:
**Average Acceleration (a) = (Final Velocity (v) - Initial Velocity (u)) / Time (t)**
- **Final Velocity (v)**: 28 m/s
- **Initial Velocity (u)**: 0 m/s (since the car starts from rest)
- **Time (t)**: 4 seconds
Plugging the values into the formula:
- a = (28 m/s - 0 m/s) / 4 s
- a = 28 m/s / 4 s
- a = 7 m/s²
Thus, the average acceleration of the car is **7 m/s²**.
Distance Travelled Calculation
Next, we calculate the distance travelled during this time using the formula for distance (s) when starting from rest:
**Distance (s) = Initial Velocity (u) * Time (t) + 0.5 * Acceleration (a) * Time²**
Since the car starts from rest (u = 0), the formula simplifies to:
- s = 0 + 0.5 * a * t²
Now substituting the values:
- s = 0.5 * 7 m/s² * (4 s)²
- s = 0.5 * 7 m/s² * 16 s²
- s = 0.5 * 112 m
- s = 56 m
Therefore, the car travels a distance of **56 meters** in 4 seconds.
Summary
- Average Acceleration: **7 m/s²**
- Distance Travelled: **56 meters**
To find the average acceleration of the car, we use the formula:
**Average Acceleration (a) = (Final Velocity (v) - Initial Velocity (u)) / Time (t)**
- **Final Velocity (v)**: 28 m/s
- **Initial Velocity (u)**: 0 m/s (since the car starts from rest)
- **Time (t)**: 4 seconds
Plugging the values into the formula:
- a = (28 m/s - 0 m/s) / 4 s
- a = 28 m/s / 4 s
- a = 7 m/s²
Thus, the average acceleration of the car is **7 m/s²**.
Distance Travelled Calculation
Next, we calculate the distance travelled during this time using the formula for distance (s) when starting from rest:
**Distance (s) = Initial Velocity (u) * Time (t) + 0.5 * Acceleration (a) * Time²**
Since the car starts from rest (u = 0), the formula simplifies to:
- s = 0 + 0.5 * a * t²
Now substituting the values:
- s = 0.5 * 7 m/s² * (4 s)²
- s = 0.5 * 7 m/s² * 16 s²
- s = 0.5 * 112 m
- s = 56 m
Therefore, the car travels a distance of **56 meters** in 4 seconds.
Summary
- Average Acceleration: **7 m/s²**
- Distance Travelled: **56 meters**
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A car can accelerate from rest to 28 m/s in 4 seconds find the average acceleration and what distance does it travel in that time?
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A car can accelerate from rest to 28 m/s in 4 seconds find the average acceleration and what distance does it travel in that time? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A car can accelerate from rest to 28 m/s in 4 seconds find the average acceleration and what distance does it travel in that time? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car can accelerate from rest to 28 m/s in 4 seconds find the average acceleration and what distance does it travel in that time?.
A car can accelerate from rest to 28 m/s in 4 seconds find the average acceleration and what distance does it travel in that time? for Class 9 2024 is part of Class 9 preparation. The Question and answers have been prepared according to the Class 9 exam syllabus. Information about A car can accelerate from rest to 28 m/s in 4 seconds find the average acceleration and what distance does it travel in that time? covers all topics & solutions for Class 9 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A car can accelerate from rest to 28 m/s in 4 seconds find the average acceleration and what distance does it travel in that time?.
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