Acar driving on the turnpike accelerates uniformly in the positive x direction from 80 ft/s (54.5 mph) to 103 ft/s (70.2 mph) in 3.10s. what is the x- component of the car's acceleration ? how far does the car travel while it accelerate?

Acceleration = (change in speed) / (time for the change)

Change in speed = (ending speed) - (starting speed)

                            = (103 fps) - (80 fps) = 23 ft/sec .

Acceleration = (23 ft/sec) / (3.1 sec) = 7.42 ft/sec² .

Since the acceleration was uniform in the x-direction,
its component in the x-direction is 7.42 ft/sec², and it
has no other component.


The car's average speed while it accelerates is

           (1/2) (80 fps + 103 fps) = 183/2 = 91.5 fps

In 3.1 seconds, at an average speed of 91.5 fps,
the car travels
                         (91.5 ft/sec) x (3.1 sec) = 283.65 ft .