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A car at rest ends accelerates for 12 seconds. After this time the car is going 36 m/s. What was its acceleration?

Respuesta :

Acceleration is defined as velocity per unit time.

[tex] Acceleration=\frac{Velocity}{time} [/tex]

[tex] a=\frac{dv}{dt} [/tex]

Here, a=acceleartion,

v=velocity=36 m/s

t=time=12 s

[tex] a=\frac{dv}{dt} [/tex]

[tex] a=\frac{36}{12} [/tex]

[tex] a=3 ms⁻² [/tex]

A car at rest ends accelerates for 12 seconds. After this time the car is going 36 m/s. So acceleration that is a=3 ms⁻².

Using the equation of motion:

[tex] a = \frac{v-u}{t} [/tex]

where [tex] a [/tex] is acceleration, [tex] v [/tex] is final velocity, [tex] u [/tex] is initial velocity, and [tex] t [/tex] is time

Given values are:

[tex] t = 12 sec, v= 36 m/s, u = 0  [/tex] (because initially car was at rest)

Substituting the values in the formula:

[tex] a = \frac{36-0}{12} = 3 m/s^{2} [/tex]

Hence, the acceleration of the car is [tex] 3 m/s^{2} [/tex].


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