A cyclist is moving along a straight stretch of road after starting at t=0. The velocity of the cycle is given by the graph. Assume that positive velocity is moving away from its starting point and negative velocity represents when the cycle is moving toward its starting point. A) At what point in time was the cycle moving most rapidly? B) At what point in time was the cycle at a maximum distance from the starting point? C) Sketch a possible graph of the distance the cycle is from its starting point as a function of time.

Question

A cyclist is moving along a straight stretch of road after starting at t=0.  The velocity of the cycle is given by the graph.  Assume that positive velocity is moving away from its starting point and negative velocity represents when the cycle is moving toward its starting point. A) At what point in time was the cycle moving most rapidly? B) At what point in time was the cycle at a maximum distance from the starting point? C) Sketch a possible graph of the distance the cycle is from its starting point as a function of time.

anonymous · Answer

Question number 4 has the graph.

anonymous · Answer

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peak has the highest velocity

most distance is as far away from the start point as positive, every postive velocity move shim away, so only when the velocity becomes negative, below the x asis, does he start to get close again. so where the graph crosses the x axis he is the furthest.

the graph never rises above the x asis again so he continues to move back towards the start.

to translate the graph its just a great excercise you should try and think about what is happening, what the axii represent and plug in some values etc

anonymous · Answer

I am trying to think of how you would sketch a graph of the distance. I understand how to read the graph by your explanation.