SOLUTION: A train accelerates steadilv from 4.0 ms^-1 to 20 ms^-1 in 100 seconds. a. Calculate the acceleration of the train. b. From its initial and final velocities, calculate the averag

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Question 1200446: A train accelerates steadilv from 4.0 ms^-1 to 20 ms^-1 in 100 seconds.
a. Calculate the acceleration of the train.
b. From its initial and final velocities, calculate the average velocity of the train.
c. Calculate the distance travelled by the train in this time of 100 seconds.
Answer by math_tutor2020(3816) About Me  (Show Source):
You can put this solution on YOUR website!

Part (a)

I'll use the notation "mps" to mean "meters per second" aka "m/s".

acceleration = (finalVelocity - startingVelocity)/(change in time)
acceleration = (20 mps - 4 mps)/(100 s)
acceleration = (16 mps)/(100 s)
acceleration = (16/100) m/s^2
acceleration = 0.16 m/s^2
This value is exact.

Answer: 0.16 m/s^2

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Part (b)

average velocity = (startingVelocity + finalVelocity)/2
average velocity = (4 mps + 20 mps)/2
average velocity = (24 mps)/2
average velocity = 12 mps
average velocity = 12 m/s


Answer: 12 m/s

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Part (c)

distance = averageVelocity*time
distance = (12 m/s)*(100 s)
distance = 1200 m

Answer: 1200 meters

Further Reading about Kinematic Equations
https://www.physicsclassroom.com/class/1dkin/Lesson-6/Kinematic-Equations