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# FSMQ additional maths help

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1. 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
2. (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.)
3. Thank you!

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