Answer:
216 m.
Explanation:
The following data were obtained from the question:
Initial velocity (u) = 6 m/s
Acceleration (a) = 2 m/s²
Time (t) = 12 secs
Distance travelled (s) =.?
Next, we shall determine the final velocity of the truck.
This can be obtained as follow:
Initial velocity (u) = 6 m/s
Acceleration (a) = 2 m/s²
Time (t) = 12 secs
Final velocity (v) =?
v = u + at
v = 6 + (2 × 12)
v = 6 + 24
v = 30 m/s
The, the final velocity of the truck is 30 m/s.
Finally, we shall determine the distance travelled by the truck as follow:
Initial velocity (u) = 6 m/s
Final velocity (v) = 30 m/s
Acceleration (a) = 2 m/s²
Distance travelled (s) =.?
v² = u² + 2sa
30² = 6² + (2 × s × 2)
900 = 36 + 4s
Collect like terms
900 – 36 = 4s
864 = 4s
Divide both side by 4
s = 864/4
s = 216 m
Therefore, the distance travelled by the truck is 216 m