<u>Answer:</u>
After reaching crossing locomotive takes 17.6 seconds to reach velocity 32 m/s.
<u>Explanation:</u>
Acceleration of locomotive = 1.6
Time at which it crosses crossing = 2.4 seconds.
We have equation of motion, v = u + at, where v is the final velocity, u is the initial velocity, a is the acceleration and t is the time taken.
When it reaches 32 m/s, v = 32 m/s, u = 0 m/s, a= 1.6 seconds.
32 = 0 + 1.6 * t
t = 20 seconds.
So locomotive's velocity is 32 m/s after 20 seconds and it reaches crossing at 2.4 seconds.
So after reaching crossing it takes 17.6 seconds to reach velocity 32 m/s.