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Math Help - Simultaneous word problem - please solve

  1. #1
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    Smile Simultaneous word problem - please solve

    This one has had me stumped for a few days now. Hope someone can help shed some light on this question.

    1) For a body travelling with constant acceleration of a meters/second^2 its velocity Vm/sec after t seconds is given by V=u+at where u is its initial velocity.

    After six seconds the body had a velocity of 30 metres per second. 10 seconds later its velocity V was 70m/sec.

    Form a pair of simultaneous equations and solve them to find:
    a) the acceleration
    b) the intial velocity
    c) the velocity after 20 seconds
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  2. #2
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    Quote Originally Posted by GAVREED2 View Post
    This one has had me stumped for a few days now. Hope someone can help shed some light on this question.

    1) For a body travelling with constant acceleration of a meters/second^2 its velocity Vm/sec after t seconds is given by V=u+at where u is its initial velocity.

    After six seconds the body had a velocity of 30 metres per second. 10 seconds later its velocity V was 70m/sec.

    Form a pair of simultaneous equations and solve them to find:
    a) the acceleration
    b) the intial velocity
    c) the velocity after 20 seconds
    Well you can use simultaneous equations, but first here's an easier way.

    The object accelerated 40 m/s in 10 seconds. This means a = 4 m/s^2. Thus at time t=0 the velocity was 30 - (4)(6) = 6 m/s. And the velocity at t = 20 is 70 + (4)(4) = 86 m/s.

    If you would rather use simultaneous equations, try

    30 = u + a(6)
    70 = u + a(16)
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  3. #3
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    thanks so much that makes more sense. Just wondering how i would form a simultaneous equation for part c???
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  4. #4
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    Quote Originally Posted by GAVREED2 View Post
    thanks so much that makes more sense. Just wondering how i would form a simultaneous equation for part c???
    No need for simultaneous equation for part (c). You have u and a, that is,

    V = 6 + 4t

    You can plug in t = 20 to get the answer.
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