Answer:
Time taken to cover the distance 11.45 s.
Step-by-step explanation:
The given parameters:
Initial Velocity(u)=24 m/s
Acceleration (a)=8

Distance or Displacement(s)=800 m
Displacement or Distance is equal in the above because it travels in a straight line.
We have to apply Second Equation of Motion,
s=ut+

800=24t + 4

200=6t +

+ 6t - 200=0
Solving, the quadratic equation to find out the roots, we get that the possible values of t will be 11.45 s and a negative value.
The negative value will be neglected as time cannot be negative.
Hence, the time taken is 11.45 s.