On a dry road, a car with good tires may be able to brake withconstant deceleration of 4.92 m/s^2. (a) how long does such a car,initially traveling at 24.6 m/s, take to stop?(b) How far does ittravel in this time? (c) Graph x vs t and v vs t for thedeceleration.

Respuesta :

Answer:

a) [tex]t=5\ s[/tex]

b) [tex]s=61.5\ m[/tex]

Explanation:

Given:

acceleration of the car, [tex]a=-4.92\ m.s^{-1}[/tex]

initial velocity of the car, [tex]u=24.6\ m.s^{-1}[/tex]

final velocity of the car, [tex]v=0\ m.s^{-1}[/tex]

a)

Using eq. of motion:

[tex]v=u+a.t[/tex]

[tex]0=24.6-4.92\times t[/tex]

[tex]t=5\ s[/tex]

b)

Distance travelled before stopping:

[tex]s=u.t+\frac{1}{2} a.t^2[/tex]

[tex]s=24.6\times 5-0.5\times 4.92\times 5^2[/tex]

[tex]s=61.5\ m[/tex]

c)

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