How long does it take for a car with an initial speed of 2m / s and an acceleration of 0.5m / s to travel 25m?

Given:
uо = 2 m / s
a = 0.5 m / s ^ 2
s = 25 m

formula:
s = uоt + (at ^ 2) / 2
substitute values
25 = 2 * t + (0.5 * t ^ 2) / 2
solving the quadratic equation
0.25t ^ 2 + 2t-25 = 0
D = 4 + 4 * 25 * 0.25 = 29
t1 = (- 2 + 5.4) / 0.5 = 6.8
t2 = (- 2-5.4) / 0.5 = -14.8 – not suitable, because speed cannot be negative
Answer: 6.8 seconds