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Vectors M1 Question

Two particles P and Q move in a plane so that at time t seconds, P and Q have position vectors Rp and Rq metres, relative to the fixed origin O, where:

Rp=(3t^2+4)i + (2t-1/2)j

Rq=(t+6)i + (3t^2/2)j


Find:

a) The velocity vectors of P and Q at time t seconds.

b) The speed when t=2

c)The value of t at the instant when the particles are moving parallel to one another.

I don't know how to do part c), could someone explain please?
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mqb2766
21
Find the ratio (fraction) of the speeds in both the i and j direction and set them equal to each other and solve for t. Parallel means one vector is a scaled verion of the other, so the components have the same ratio (fraction).
Original post by dont know it
Two particles P and Q move in a plane so that at time t seconds, P and Q have position vectors Rp and Rq metres, relative to the fixed origin O, where:

Rp=(3t^2+4)i + (2t-1/2)j

Rq=(t+6)i + (3t^2/2)j


Find:

a) The velocity vectors of P and Q at time t seconds.

b) The speed when t=2

c)The value of t at the instant when the particles are moving parallel to one another.

I don't know how to do part c), could someone explain please?
Original post by mqb2766
Find the ratio (fraction) of the speeds in both the i and j direction and set them equal to each other and solve for t. Parallel means one vector is a scaled verion of the other, so the components have the same ratio (fraction).


Thanks.

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