Algebra.Com's Answer #847836 by ikleyn(52790)![\"\"](\"/images/stars/stars-13.gif\")  
You can put this solution on YOUR website!
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document.write( "Please help me with this question: https://imgur.com/a/CRaEH2C \r
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document.write( "It's about displacement/time graphs, velocity/time graphs and acceleration/time graphs
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document.write( "I will assume that horizontal axis is for the time t, vertical axis is for position y.\r\n" );
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document.write( "(a) Velocity is zero where the derivative  is zero.\r\n" );
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document.write( " They are the points, where the tangent line to the plot is horizontal.\r\n" );
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document.write( " These points are B, D, E, G, I, J. \r\n" );
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document.write( "(b) The acceleration is zero where the second derivative  is zero.\r\n" );
document.write( " These points are the inflection points.\r\n" );
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document.write( " In the plot, they are C, E, H, and some point between I and J, which \r\n" );
document.write( " is not marked in the plot.\r\n" );
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document.write( "(c) These intervals are BC, DF, GH, IJ.\r\n" );
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document.write( " These intervals are those where the position y of the object becomes closer \r\n" );
document.write( " to zero as the time increases.\r\n" );
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document.write( "(d) The acceleration is negative where the plot is convex upwards (arcs CDE, HIJ).\r\n" );
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document.write( " The velocity is negative where the derivative  is negative\r\n" );
document.write( " (Arcs AB, DEFG, IJ).\r\n" );
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document.write( " Both the acceleration is negative and the velocity is negative in intersections \r\n" );
document.write( " of these sets/arcs DE and IJ.\r\n" );
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document.write( "(e) Regarding first 2.5 seconds, \r\n" );
document.write( " the body starts (t=0) from the detector position and moves in the \"negative\"\r\n" );
document.write( " direction from the detector until getting point B on the graph.\r\n" );
document.write( " At the start, the starting velocity is negative. \r\n" );
document.write( " On the curve AB, acceleration is positive, so the magnitude \r\n" );
document.write( " of the velocity diminishes and the negative velocity steadily \r\n" );
document.write( " becomes 0 at point B.\r\n" );
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document.write( " After getting point B, the body moves to the detector (curve BC) with positive acceleration,\r\n" );
document.write( " passes the detector, and further moves from the detector in \"positive\" direction.\r\n" );
document.write( " Curve CD describes decelerated movement. The velocity on CD remains positive, \r\n" );
document.write( " but the magnitude of the velocity steadily diminishes.\r\n" );
document.write( " At point D, the velocity becomes zero, and the body starts moving to the detector.\r\n" );
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document.write( " At this point, I will stop my story to leave the room for you to think and to describe \r\n" );
document.write( " the further events on your own.\r\n" );
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document.write( "Analyzing and describing motions using plots is a perfect way to develop
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document.write( "your understanding of processes and terminology in Physics / kinematics.\r
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