A car travelling at a speed of `30 ms^(-1)` due north along the highway makes a left turn on to a sied road which heads towards due west. It takes `40 s` for the car to complere the turn. At the end of `40 s`, the caar has a speed of `20 ms^(-1)` along the side road. Derermime the magnitude of average acceleration over the `40 second` interval.

Explanation

To determine the magnitude of the average acceleration of the car over the 40-second interval, we can follow these steps:

### Step 1: Identify Initial and Final Velocities
- The initial velocity (\( \vec{v_i} \)) of the car is \( 30 \, \text{m/s} \) due north.
- The final velocity (\( \vec{v_f} \)) of the car is \( 20 \, \text{m/s} \) due west.

### Step 2: Represent the Velocities as Vectors
- We can represent the initial and final velocities in vector form:
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