
Answer:
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 = [tex]\frac{v - u}{t}[/tex]
          a  = [tex]\frac{21 - 10}{12}[/tex]  = 0.92m/s²
 now;
      v² = u² + 2as
      21²  = 10²  + 2(0.92)(s) Â
      441 = 100 + 1.84s
      441 - 100  = 1.84s
         s  = 185.3m