Respuesta :

Answer:

[tex] \boxed{\sf Acceleration \ of \ the \ car = -5 \ m/s^2} [/tex]

Given:

Initial speed (u) = 30 m/s

Final speed (v) = 20 m/s

Time taken (t) = 2s

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 20 = 30 + a(2) \\ \\ \sf \implies 2a + 30 = 20 \\ \\ \sf \implies 2a = 20 - 30 \\ \\ \sf \implies 2a = - 10 \\ \\ \sf \implies a = - \frac{10}{2} \\ \\ \sf \implies a = - 5 \: m {s}^{ - 2} [/tex]

[tex] \therefore[/tex]

Acceleration (a) of the car = -5 m/s²