A car travelling at 20km/hr speed up to 60 km/ hr in 6 sec. What is it...
Calculation of Acceleration of a Car
Given:
- Initial velocity (u) = 20 km/hr
- Final velocity (v) = 60 km/hr
- Time taken (t) = 6 sec
Step 1: Conversion of Units
First, we need to convert the given velocities from km/hr to m/s. We know that:
- 1 km/hr = 1000 m/3600 sec = 0.2778 m/s
Therefore, the initial velocity (u) can be calculated as:
- u = 20 km/hr x 0.2778 m/s = 5.56 m/s
Similarly, the final velocity (v) can be calculated as:
- v = 60 km/hr x 0.2778 m/s = 16.67 m/s
Step 2: Calculation of Acceleration
We can use the formula of acceleration to calculate the acceleration of the car. The formula of acceleration is:
Substituting the values in the formula, we get:
- a = (16.67 m/s - 5.56 m/s)/6 sec
- a = 1.85 m/s^2
Step 3: Interpretation of Result
The calculated acceleration of the car is 1.85 m/s^2. This means that the car is increasing its velocity at a rate of 1.85 m/s^2. In other words, for every second, the car is increasing its velocity by 1.85 m/s.