A car traveling on a straight road at 10 meters per second accelerates uniformly to a speed of 21.0 meters per second in 12.0 seconds. The total distance traveled by the car in this 12.0-second time interval is?

185.3m

Explanation:

Given parameters:

Initial velocity  = 10m/s

Final velocity  = 21m/s

Time  = 12s

Unknown:

Total distance traveled by the car = ?

Solution:

To solve this problem, we use that appropriate motion equation:

            v² = u² + 2as

v is the final velocity

u is the initial velocity

a is the acceleration

s is the unknown distance

t is the time taken;

    acceleration =

                   a  =   = 0.92m/s²

 now;

            v² = u² + 2as

            21²  = 10²  + 2(0.92)(s)  

            441 = 100 + 1.84s

           441 - 100  = 1.84s

                  s  = 185.3m

c) up

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