You are driving your car and the traffic light ahead turns red.You apply the breaks for 3s and the velocity of the car decreasesto 4.5 m/s . If the cars deceleration has a magnitude of 2.7m/s^2,what is the car's displacement during this time?

Respuesta :

Answer:

The car's displacement during this time is 25.65 meters.

Explanation:

Given that,

Final velocity of the car, v = 4.5 m/s

Deceleration of the car, [tex]a=-2.7\ m/s^2[/tex]

Let u is the initial speed of the car. It is given by :

[tex]v=u+at[/tex]

[tex]u=v-at[/tex]

[tex]u=4.5-(-2.7)\times 3[/tex]

u = 12.6 m/s

Let d is the car's displacement during this time. It can be calculated using second equation of motion as :

[tex]d=ut+\dfrac{1}{2}at^2[/tex]

[tex]d=12.6\times 3+\dfrac{1}{2}\times (-2.7)\times 3^2[/tex]

d = 25.65 meters

So, the car's displacement during this time is 25.65 meters. Hence, this is the required solution.