We are given:
Initial speed, u = 11 m/s
Final speed, v = 28 m/s
Acceleration, a = 3 m/s^2
We need to calculate the distance travelled, s.
We can use the following kinematic equation to solve for the distance travelled, where u is the initial speed, v is the final speed, a is the acceleration, and s is the distance travelled:
v^2 = u^2 + 2as
Substituting the given values, we get:
28^2 = 11^2 + 2(3)s
784 = 121 + 6s
6s = 663
s = 110.5 m
Therefore, the car travels a distance of 110.5 m when its speed increases from 11 m/s to 28 m/s with an acceleration of 3 m/s^2