A car drive accelerates the car to increase its speed from 30 km `h^(-1)` to `60 km h^(-1)` in 5 min. Arrage the following steps a sequence to obtain the acceleration of the car.
(A) Use the formula , rate of change of velocity = `(" Total change in veclocity")/("Total time required for change")`
(B) Obtain the final velocity (v) , of the car.
(C) Find the time taken to increase the speed of the car from u to v let it be 't'
(D) find the initial velocity (u) of the car.
(E) Substitute the values in the formula and calulate the acceleration of the car.

Options

A. EABCD
B. ABCDE
C. DBCAE
D. EDCBA

Explanation

To find the acceleration of the car, we will follow the steps in the correct sequence. Here’s how we can solve the problem step by step:

### Step-by-Step Solution:

1. **Find the Initial Velocity (u)**:
- The initial speed of the car is given as 30 km/h.
- Therefore, \( u = 30 \, \text{km/h} \).

2. **Obtain the Final Velocity (v)**:
- The final speed of the car is given as 60 km/h.
- Therefore, \( v = 60 \, \text{km/h} \).

3. **Find the Time Taken (t)**:
- The time taken to increase the speed is given as 5 minutes.
- We need to convert this time into hours for consistency with the velocity units:
\[ t = 5 \, \text{minutes} = \frac{5}{60} \, \text{hours} = \frac{1}{12} \, \text{hours}. \]

4. **Use the Formula for Acceleration**:
- The formula for acceleration \( a \) is given by:
\[ a = \frac{\text{Total change in velocity}}{\text{Total time required for change}} = \frac{v - u}{t}. \]

5. **Substitute the Values and Calculate the Acceleration**:
- Now we substitute the values into the formula:
\[ a = \frac{60 \, \text{km/h} - 30 \, \text{km/h}}{\frac{1}{12} \, \text{hours}} = \frac{30 \, \text{km/h}}{\frac{1}{12} \, \text{hours}}. \]
- To simplify:
\[ a = 30 \, \text{km/h} \times 12 = 360 \, \text{km/h}^2. \]

### Final Result:
The acceleration of the car is \( 360 \, \text{km/h}^2 \).

### Sequence of Steps:
The correct sequence of steps to obtain the acceleration is:
- (D) Find the initial velocity (u) of the car.
- (B) Obtain the final velocity (v) of the car.
- (C) Find the time taken to increase the speed of the car from u to v, let it be 't'.
- (A) Use the formula, rate of change of velocity = \(\frac{\text{Total change in velocity}}{\text{Total time required for change}}\).
- (E) Substitute the values in the formula and calculate the acceleration of the car.