a car accelerates from 10 m/s to 30 m/s as the traffic break up on the highway. the acceleration occurs over 3.5 seconds of time. determine the acceleration of the car.

Respuesta :

Answer:

[tex] \boxed{\sf Acceleration \ (a) = 5.7 \ m/s^2} [/tex]

Given:

Initial velocity (u) = 10 m/s

Final velocity (v) = 30 m/s

Time taken (t) = 3.5 seconds

To Find:

Acceleration (a) of the car

Explanation:

From equation of motion:

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

Substituting value of v, u & t in the equation:

[tex] \sf \implies 30 = 10 + a(3.5) \\ \\ \sf \implies 30 - 10 = 3.5a \\ \\ \sf \implies 20 = 3.5a \\ \\ \sf \implies 3.5a = 20 \\ \\ \sf \implies a = \frac{20}{3.5} \\ \\ \sf \implies a = 5.7 \: m/s^2[/tex]

[tex] \therefore[/tex]

Acceleration (a) of the car = 5.7 m/s²