document.write( "Question 1200446: A train accelerates steadilv from 4.0 ms^-1 to 20 ms^-1 in 100 seconds.
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document.write( "a. Calculate the acceleration of the train.
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document.write( "b. From its initial and final velocities, calculate the average velocity of the train.
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document.write( "c. Calculate the distance travelled by the train in this time of 100 seconds. \n" );
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Algebra.Com's Answer #834571 by math_tutor2020(3817)![]() ![]() ![]() 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( " |