Respuesta :

Answer:

245 km/h south

Explanation:

Since the motion of the car is a uniformly accelerated motion (=constant acceleration), we can use the following suvat equation:

[tex]v=u+at[/tex]

where

u is the initial velocity

a is the acceleration

t is the time

v is the final velocity

For the car in this problem we have:

[tex]u=85 km/h[/tex] is the initial velocity (taking south as positive direction)

[tex]a=4.0 km/h/s[/tex] is the acceleration (the direction is not specified; I assume it is south, so it is also positive)

t = 40 s is the time elapsed

Therefore, the final velocity is

[tex]v=u+at=85+(4.0)(40)=245 km/h[/tex]

And since the value is positive, the direction is south.