Activity 4.2 Let us calculate the magnitude of average acceleration of different types of cars. Class 9
Activity 4.2 Let us calculate the magnitude of average acceleration of different types of cars. Class 9
Activity 4.2 Let us calculate
Aim: To calculate the magnitude of average acceleration of different types of cars using data collected from the internet, and compare their performances.
Positions of vehicle at different instants of time
The magnitude of average acceleration in a time interval
| Car type | Time interval during which the speed goes from 0 to 100 km h-1 | Magnitude of average acceleration (m s-2) |
| Maruti Suzuki Swift | 13.5 s | 2.06 m s-2 |
| Hyundai Creta | 10.8 s | 2.57 m s-2 |
| Toyota Fortuner | 10.2 s | 2.72 m s-2 |
| Tata Nexon EV | 8.9 s | 3.12 m s-2 |
The time taken for different cars to accelerate from 0 to 100 km h-1 varies considerably - ranging from about 8 to 14 seconds for typical passenger cars.
Cars that take less time to reach 100 km h-1 have a higher magnitude of average acceleration.
Sports cars and electric vehicles generally show higher average acceleration than regular passenger cars.
The magnitude of average acceleration is calculated as:
average acceleration = (final velocity - initial velocity) / time interval
To get the acceleration in m/s² = 100 km/h = [latex]\frac{(100 \times 1000)}{3600}[/latex] = 27.78m/s
Then we use the formula:
α = [latex]\frac{27.78 \mathrm{~m} / \mathrm{s}}{t}[/latex]
Conclusion:
Average acceleration is defined as the change in velocity divided by the time interval over which the change occurs.