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    I'm doing an additional maths past paper question, please can I have some help?

    Two cars, A and B, move from rest away from a point O on a straight road at the same time.

    a) Car A moves with constant acceleration of 2ms to the power of -2
    Express the displacement of car A after time t seconds as a function of t.

    b) Car B moves with acceleration given by a=1/2t+1
    Express the displacement of car B after time t seconds as a function of t

    c)
    i) Find the time at which the cars are the same distance from O.

    ii) Find the distance they travelled in that time

    Thank you!! xxx
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    (Original post by xxjessietxx)
    I'm doing an additional maths past paper question, please can I have some help?

    Two cars, A and B, move from rest away from a point O on a straight road at the same time.

    a) Car A moves with constant acceleration of 2ms to the power of -2
    Express the displacement of car A after time t seconds as a function of t.

    b) Car B moves with acceleration given by a=1/2t+1
    Express the displacement of car B after time t seconds as a function of t

    c)
    i) Find the time at which the cars are the same distance from O.

    ii) Find the distance they travelled in that time

    Thank you!! xxx
    For parts a and b, integrate with respect to t twice. Remember initial velocity and initial displacement are zero.

    For part c, set the displacements equal to each other, and solve to find t. Then use that t to work out the displacement of the cars (both cars will have the same displacement, so use the displacement equation for either one.)
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    Thank you!
 
 
 
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