A car is traveling to the right with a speed of 2.0\,\dfrac{\text m}{\text s}2.0 s m ​ 2, point, 0, space, start fraction, m, divided by, s, end fraction on an icy road when the brakes are applied. The car slides with constant acceleration for 3.0\,\text m3.0m3, point, 0, space, m until it comes to a stop.

Respuesta :

Answer:

d = 0.67 m

Explanation:

Initial speed of the car is given as

[tex]v_i = 2.0 m/s[/tex]

final speed of the car after which it will stop is given as

[tex]v_f = 0[/tex]

now the deceleration of the car which is due to brakes is given as

[tex]a = - 3 m/s^2[/tex]

now the distance after which it will stop is given as

[tex]v_f^2 - v_i^2 = 2 a d[/tex]

[tex]0 - 2^2 = 2(-3)d[/tex]

[tex]d = \frac{4}{6} m[/tex]

[tex]d = 0.67 m[/tex]

The distance traveled before the car stop will be 0.67 m.

What is velocity?

The change of distance with respect to time is defined as velocity. Velocity is a vector quantity. Its unit is m/sec.

Given data in problem is,

Initial speed,u=2 m/sec

Final speed,v= 0 m/sec

Deceleration of the car,a = - 3 m/sec²

Distance traveled before the car stop,s

The distance traveled before the car stop is found as,

v²=u²+2as

0²=2²+2(-3)s

s = 4/6

s =0.67 m

Hence, the distance traveled before the car stop will be 0.67 m.

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