A train travelling at 18 m/s accelerates uniformly at 2 m/s² for 6 seconds. Calculate the final speed of the train.
Question
A train travelling at 18 m/s accelerates uniformly at 2 m/s² for 6 seconds. Calculate the final speed of the train.
Solution
To calculate the final speed of the train, we can use the formula of final velocity which is:
v = u + at
where: v is the final velocity, u is the initial velocity, a is the acceleration, and t is the time.
Given in the problem: u = 18 m/s (initial velocity), a = 2 m/s² (acceleration), and t = 6 seconds (time).
Substituting these values into the formula, we get:
v = 18 m/s + 2 m/s² * 6 s
This simplifies to:
v = 18 m/s + 12 m/s
So, the final speed of the train is 30 m/s.
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