The speed of a train increases fron 100km/h to 250km/h in 5 min. What is its acceleration
Equation
a=Vf-Vi/t
a=250-100/5=30m/s^2
To find the acceleration of the train, we can use the formula:
acceleration = (final velocity - initial velocity) / time
Given:
Initial velocity (u) = 100 km/h
Final velocity (v) = 250 km/h
Time (t) = 5 min = 5/60 hours (since 1 hour = 60 minutes)
First, let's convert the time from minutes to hours:
Time (t) = 5/60 hours
Now we can substitute the values into the formula:
acceleration = (250 km/h - 100 km/h) / (5/60) hours
Simplifying the expression:
acceleration = (150 km/h) / (5/60) hours
To divide a value by a fraction, we can multiply it by the reciprocal of the fraction:
acceleration = (150 km/h) * (60/5) = 150 km/h * 12
Calculating the product:
acceleration = 1800 km/h
Therefore, the acceleration of the train is 1800 km/h.