The friction coefficient between a road and the tyre of a vehicle is 4/3. Find the maximum incline the road may thave so that once hard brakes are applied and the wheel starts skidding, the vehicle going down at a speed of 36 km/hr is stopped within 5m.

Explanation

To find the maximum incline of the road such that a vehicle traveling at 36 km/hr can stop within 5 meters after applying hard brakes, we can follow these steps:

### Step 1: Convert the speed from km/hr to m/s
The speed of the vehicle is given as 36 km/hr. To convert this to meters per second (m/s), we use the conversion factor:
\[ \text{Speed in m/s} = \text{Speed in km/hr} \times \frac{5}{18} \]
Calculating this gives:
...