Respuesta :

Answer:

[tex] \boxed{\sf Acceleration \ (a) = 2 \ m/s^2} [/tex]

Given:

Initial velocity (u) = 12 m/s

Final velocity (v) = 24 m/s

Time taken (t) = 6 seconds

To Find:

Acceleration (a) of the car

Explanation:

From equation of motion we have:

[tex] \boxed{ \bold{v = u + at}}[/tex]

By substituting value of v, u & t in the equation we get:

[tex] \sf \implies 24 = 12 + 6a \\ \\ \sf \implies 6a + 12 = 24 \\ \\ \sf \implies 6a = 24 - 12 \\ \\ \sf \implies 6a = 12 \\ \\ \sf \implies a = \frac{12}{6} \\ \\ \sf \implies a = 2 \: m {s}^{ - 2} [/tex]

[tex] \therefore[/tex]

Acceleration (a) of the car = 2 m/s²

Answer:

[tex] \boxed{ \bold{ \huge{ \boxed{ \sf{2 \: m \:/{s} \: ^{2}}}}}}[/tex]

Explanation:

Initial velocity ( u ) = 12 m/s

Final velocity ( v ) = 24 m/s

Time taken ( t ) = 6

Acceleration of the car = ?

Finding the acceleration

[tex] \boxed{ \sf{acceleration = \frac{v - \: u}{t}}} [/tex]

[tex] \longrightarrow{ \sf{acceleration = \frac{24 - 12}{6} }}[/tex]

[tex] \longrightarrow{ \sf{acceleration = \frac{12}{6}}} [/tex]

[tex] \longrightarrow{ \sf{acceleration = \: 2 \: m/ {s} \: ^{2} }}[/tex]

Hope I helped!

Best regards! :D