Question

You are driving at 22.0 m/s when you suddenly slam on the brakes to avoid a collision. You come to a complete stop. When you stop, your acceleration
is determined by your tires and the road conditions, and it is a constant -9.60 m/s^2. The skid marks you leave behind can be measured to determine your displacement. How long will our skid marks be?

Answer 1

Please find attached photograph for your answer.

Answer 2

The skid mark will be 25.21 m long.

From the question given above, the following data were obtained:

Initial velocity (u) = 22.0 m/s

Final velocity (v) = 0 m/s

Deceleration (a) = –9.6 m/s²

Displacement (s) =?

The displacement can be obtained as follow:

v² = u² + 2as

0² = 22² + (2 × –9.6 × s)

0 = 484 – 19.2a

Collect like terms

0 – 484 = –19.2s

–484 = –19.2s

Divide both side by –19.2

$s = \frac{-484}{-19.2}$

s = 25.21 m

Therefore, the skid mark is 25.21 m long

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