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Math Help - Uniform Acceleration

  1. #1
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    Uniform Acceleration

    A car starts from rest with uniform acceleration of 10m/s^2 until it reaches a speed of 24m/s . It travels at this speed for 3hrs and then comes to rest with uniform retardation in 10secs.

    What would be the average speed of the car the whole journey and the retardation of the car in the last 10 secs?

    Dunno how to go about this, please help.
    Last edited by MathBond; June 7th 2011 at 07:43 PM. Reason: corrected speed
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  2. #2
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    There are three phases for the movement:

    - acceleration phase (when it accelerates from 0 m/s to 24 m/s at a rate of 10 m/s^2)
    - traveling phase (three hours traveling at 24 m/s)
    - deceleration phase (when it decelerates from 24 m/s to 0/ms in 10 seconds)

    Both questions can be answered by using the physics formulas for uniform motions.
    As for the average speed of the car for the whole journey, you should use the weighted mean of the three phases.... like~
    ((averagespd acceleration phase)*(time taken on acceleration phase) + (aspd traveling)*(time traveling) + (aspd deceleration)*(time deceleration))/(totaltime)
    Last edited by Misa; June 7th 2011 at 06:12 PM. Reason: silly mistake
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    Quote Originally Posted by MathBond View Post
    A car starts from rest with uniform acceleration of 10m/s^2 until it reaches a speed of 24m/s^2 . It travels at this speed for 3hrs and then comes to rest with uniform retardation in 10secs.

    What would be the average speed of the car the whole journey and the retardation of the car in the last 10 secs?

    Dunno how to go about this, please help.
    Also, see here.

    -Dan
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