document.write( "Question 1200446: A train accelerates steadilv from 4.0 ms^-1 to 20 ms^-1 in 100 seconds.
\n" ); document.write( "a. Calculate the acceleration of the train.
\n" ); document.write( "b. From its initial and final velocities, calculate the average velocity of the train.
\n" ); document.write( "c. Calculate the distance travelled by the train in this time of 100 seconds.
\n" ); document.write( "

Algebra.Com's Answer #834571 by math_tutor2020(3817)\"\" \"About 
You can put this solution on YOUR website!

\n" ); document.write( "Part (a)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "I'll use the notation \"mps\" to mean \"meters per second\" aka \"m/s\".\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "acceleration = (finalVelocity - startingVelocity)/(change in time)
\n" ); document.write( "acceleration = (20 mps - 4 mps)/(100 s)
\n" ); document.write( "acceleration = (16 mps)/(100 s)
\n" ); document.write( "acceleration = (16/100) m/s^2
\n" ); document.write( "acceleration = 0.16 m/s^2
\n" ); document.write( "This value is exact.\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer: 0.16 m/s^2\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "==========================================================\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Part (b)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "average velocity = (startingVelocity + finalVelocity)/2
\n" ); document.write( "average velocity = (4 mps + 20 mps)/2
\n" ); document.write( "average velocity = (24 mps)/2
\n" ); document.write( "average velocity = 12 mps
\n" ); document.write( "average velocity = 12 m/s\r
\n" ); document.write( "
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer: 12 m/s\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "==========================================================\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Part (c)\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "distance = averageVelocity*time
\n" ); document.write( "distance = (12 m/s)*(100 s)
\n" ); document.write( "distance = 1200 m\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Answer: 1200 meters\r
\n" ); document.write( "
\n" ); document.write( "\n" ); document.write( "Further Reading about Kinematic Equations
\n" ); document.write( "https://www.physicsclassroom.com/class/1dkin/Lesson-6/Kinematic-Equations
\n" ); document.write( "
\n" ); document.write( "
\n" );