# 11.2.2. Uniformly Accelerated Rectilinear Motion

A man was driving his car at a constant velocity of m/s. when he suddenly saw a child crossing the street and immediately hit the brakes. If the car’s braking response time is 0.9 seconds, and it was moving with a uniform deceleration of until it stopped, determine the distance covered by the car from the moment the brakes were hit until it stopped completely.

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### Example

A man was driving his car at a constant velocity of m/s. when he suddenly saw a child crossing the street and immediately hit the brakes. If the car’s braking response time is 0.9 seconds, and it was moving with a uniform deceleration of until it stopped, determine the distance covered by the car from the moment the brakes were hit until it stopped completely.

• Am
• Bm
• Cm
• Dm

### Solution

There are two different parts in this question; before and after the brakes were pressed. Find the distance travelled before the brakes were pressed by first listing the values.

Substitute the values into the following formula: Now, find the distance travelled after the brakes were pressed.

Substitute the values into the following formula:

Add the distances to find the total distance travelled.

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