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Mechanics help please- very hard? watch

1. 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
2. well, at time t=23 the displacement for the cyclist and the cars are equal.
3. 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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