A car is moving with a velocity of 20 m/s. The driver sees a stationary truck ahead at a distance of 100 m. After some reaction time `Deltat` the brakes are applied producing a retardation of `4 m//s^2`? What is the maximum reaction time to avoid collision ?

Explanation

To solve the problem, we need to determine the maximum reaction time of the driver to avoid a collision with the stationary truck. Here’s a step-by-step breakdown of the solution:

### Step 1: Understand the given data
- Initial velocity of the car, \( u = 20 \, \text{m/s} \)
- Distance to the truck, \( d = 100 \, \text{m} \)
- Retardation (deceleration) when brakes are applied, \( a = -4 \, \text{m/s}^2 \)

### Step 2: Calculate the stopping distance of the car
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