contestada

A car is traveling at a velocity of 30 m/s. It then brakes over a displacement of 50 meters to come to rest. What was the acceleration of the car?

Respuesta :

The acceleration of the car is  [tex]9 m / \sec ^{2}[/tex]

Explanation:

Given:

Final velocity v = 0  m/s  

Initial velocity u = 30 m/s  

Stopping distance or displacement = 50 meters

To Find:

Acceleration of the car=?

Solution:

The third equation of motion is,

[tex]v^{2}-u^{2}=2 a s[/tex]

Substituting the known values,

[tex]v^{2}-u^{2}=2 a s[/tex]

[tex](30)^{2}-(0)^{2}=2(a)(50)[/tex]

[tex]900=100 a[/tex]

[tex]a=\frac{900}{100}[/tex]

[tex]a=9 m / \sec ^{2}[/tex]