A train accelerates to a speed of 20 m/s over a distance of 150 m. Determine theacceleration (assume uniform) of the train.
Question
A train accelerates to a speed of 20 m/s over a distance of 150 m. Determine theacceleration (assume uniform) of the train.
Solution
To solve this problem, we can use the following kinematic equation:
v^2 = u^2 + 2as
where: v = final velocity = 20 m/s u = initial velocity = 0 (since the train starts from rest) a = acceleration (which we are trying to find) s = distance = 150 m
Rearranging the equation to solve for a gives:
a = (v^2 - u^2) / (2s)
Substituting the given values into the equation gives:
a = ((20 m/s)^2 - (0 m/s)^2) / (2 * 150 m) a = (400 m^2/s^2) / 300 m a = 1.33 m/s^2
So, the acceleration of the train is 1.33 m/s^2.
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