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When a driver presses the brake pedal, his car stops with an acceleration of -8.7 m/s2. How far will the car travel while coming to a complete stop if its initial speed was 10 m/s? A. 10.2 m B. 5.7 m C. 13.1 m D. 9.5 m

Respuesta :

Answer:

Distance, x = 5.7 m

Explanation:

We have,

Acceleration of the car is -8.7 m/s²

It is required to find how far will the car travel while coming to a complete stop if its initial speed was 10 m/s. Using third equation of kinematics to find it as :

[tex]v^2-u^2=2ax\\\\x=\dfrac{v^2-u^2}{2a}\\\\x=\dfrac{(0)^2-(10)^2}{2\times (-8.7)}\\\\x=5.7\ m[/tex]

So, the distance covered by the car is 5.7 m.