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Thread: Motion

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    Cadet JustRandomThings's Avatar
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    Motion

    Hi everyone thanks in advance!

    A particle moves along a straight line and its acceleration when it is moving at velocity v m/s is numerically equal to a=-(100+v^2) m/s^2. Its initial speed is 10 m/s

    1. Find the distance travelled before the particle comes to a rest

    2. Find the time taken before the particle comes to rest
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    Re: Motion

    Quote Originally Posted by JustRandomThings View Post
    Hi everyone thanks in advance!

    A particle moves along a straight line and its acceleration when it is moving at velocity v m/s is numerically equal to a=-(100+v^2) m/s^2. Its initial speed is 10 m/s

    1. Find the distance travelled before the particle comes to a rest

    2. Find the time taken before the particle comes to rest


    note


    to get the distance:








    since a < 0 and we are calculating the distance when the object comes into the rest then there is no back tracking therefore the total distance travelled is

    Using the other equality for the acceleration:



    where




    Last edited by Mahan1; 26 Mar 2017 at 10:49 PM.
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    Re: Motion



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