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    • Thread Starter
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    Here is the question:

    A cyclist starts from rest and accelerates at 1.6ms^2 for 10 seconds along a straight horizontal road and then continues at a constant speed. A motorist sets off from the same point as the cyclist at the same time and accelerates at a constant rate for 8 seconds, reaching a maximum speed of V ms^1. The car then decelerates at a constant rate until it comes to rest after a further 15 seconds. At the instant when the car comes to rest, it is overtaken by the cycle.

    A) Calculate the greatest speed attained by the cyclist

    B) Sketch a speed-time graph showing the motions of both the cyclist and the motorist

    C) Calculate the total distanceb travelled by the cyclist before overtaking the car.

    D) Calculate the value of V

    ******************************** **

    That is the question.

    Now, I can do parts A and C.

    A- 16ms^1
    C- 288m

    I can also do half of part B, as I dont know the value of V I cannot draw the car's motion accurately, however I know the general shape!

    I am having a problem with part D- calculating the value of V. I think that it is 25ms^1; however I am unsure

    Would anyone be able to clarify with me how this question is done?

    cheers
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    well, at time t=23 the displacement for the cyclist and the cars are equal.
    • Thread Starter
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    at 23m the car has decelerated to rest and the cycle overtakes

    Ive worked out the answer now, lol

    V=25ms^1
 
 
 
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Updated: January 26, 2010
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