Will mark brainliest! the driver of a pickup truck going 120 km/h applies the brakes, giving the truck a uniform deceleration of 5.00 m/s^2, while it travels 35.0 m. how much time has elapsed?

First put the speed in m/s.  120km/h = 33.33m/s.  Now the position function is the integral of velocity, and velocity is in turn the integral of acceleration.  The velocity is:

Now we integrate this expression to get the position. The constant of integration will be the distance the truck travels.

Here we set the distance, 35m as negative because I assumed the stopping point of the truck is the origin.  Putting t=0 shows it starts at -35m. 
Now solve the following equation for the time, t using the quadratic equation:

and choose the  value t=1.149s