Acar accelerates uniformly in a straight line from rest at the rate of 2.3 m/s2 . a. what is the speed of the car after it has traveled 55 m? b. how long does it take the car to travel 55 m?

The speed of the car after it's traveled 55 m is 15.9 m/s and it takes it 6.92 seconds to travel.

Step-by-step explanation:

Since the acceleration is uniform, we can calculate the distance the car travels x using the following equation:

(1)

being t the time it takes to travel and it's mean velocity which is given by:

where is the initial velocity (0 in this case). Replacin this in (1):

(2)

we already have the distance traveled x and the acceleration a so we can calculate t using (2):

Now we use this time to calculate the final velocity v

the arc length is found by finding the circumference of the full circle (2xpixradius) and then dividing by 4 to find just one quarter of the circle (90 degrees).