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MEI M1 general motion question...help :)

two objects move along the same straight line. The velocities of the objects are given by V1=16t-6t^2 and V2=2t-10 (t>=0)
Initially the objects are 32m apart. At what time do they collide?

I do not have any idea on this question, can anyone give me some clues? thanks :smile:
Original post by Qimin
two objects move along the same straight line. The velocities of the objects are given by V1=16t-6t^2 and V2=2t-10 (t>=0)
Initially the objects are 32m apart. At what time do they collide?

I do not have any idea on this question, can anyone give me some clues? thanks :smile:


Work out the displacement of each at time "t". And equate to solve.

Since they start 32m apart, then at t=0, one displacment can be 0, and the other 32.
It's not stated explicitly which is which, but I'd assume the first one has s=0 at t=0.

If that doesn't give a solution with t>0, then reverse the order and make the second one s=0 when t=0.
Reply 2
Original post by ghostwalker
Work out the displacement of each at time "t". And equate to solve.

Since they start 32m apart, then at t=0, one displacment can be 0, and the other 32.
It's not stated explicitly which is which, but I'd assume the first one has s=0 at t=0.

If that doesn't give a solution with t>0, then reverse the order and make the second one s=0 when t=0.


Thank u :smile: I have tried many orders.....finally got it.
Original post by ghostwalker
Work out the displacement of each at time "t". And equate to solve.
Since they start 32m apart, then at t=0, one displacment can be 0, and the other 32.
It's not stated explicitly which is which, but I'd assume the first one has s=0 at t=0.
If that doesn't give a solution with t>0, then reverse the order and make the second one s=0 when t=0.

thank you so much I spent ages trying to figure this out!

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