After the train has passed the crossing, it takes around 14 seconds for its speed to accelerate to 32 m/s.
Additional explanation
Acceleration refers to how quickly velocity changes.


a = acceleration (m / s²)v = final velocity (m / s)
u = initial velocity (m / s)
t = time taken (s)
d = distance (m)
Let’s proceed to solve the problem!
Given:
a = 1.6 m/s²
d = 20.0 m
t₁ = 2.4 s
v₂ = 32 m/s
Find:
Δt =?
Solution:
First, we will determine the initial velocity of the locomotive as it enters the crossing.






Next, we will compute the total duration required for the train to reach 32 m/s.




Ultimately, the time it takes for the locomotive to attain a speed of 32 m/s after leaving the crossing is:



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Answer details
Grade: High School
Subject: Physics
Chapter: Kinematics
Keywords: Velocity, Driver, Car, Deceleration, Acceleration, Obstacle, Speed, Time, Rate, Sperm, Whale, Travel