A car going 72.0 km/h (20.0 m/s) slows down to 36.0 km/h (10.0 m/s) in 5.00 seconds. Calculate the acceleration in

m/s^2



Respuesta :

Answer:

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

Given:

Initial velocity (u) = 20 m/s

Final velocity (v) = 10 m/s

Time taken (t) = 5 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 10 = 20 + 5a \\ \\ \sf \implies 5a + 20 = 10 \\ \\ \sf \implies 5a = 10 - 20 \\ \\ \sf \implies 4a = - 10 \\ \\ \sf \implies a = - \frac{10}{5} \\ \\ \sf \implies a = - 2 \: m {s}^{ - 2} [/tex]

[tex] \therefore[/tex]

Acceleration (a) of the car = -2 m/s²