SL maths problem vectors

[annaanna]

In this question, a unit vecot represents a displacement of 1 metre.

Am miniature car moves in a straight line, starting at the point (2,0). after t seconds, its position, (x,y), is given by the vector equation:

(x,y)=(2,0)+t(0.7, 1)

a) how far from the point (0,0) is the car after 2 seconds?

b) find the speed of the car

c) obtain the equation of the car's path in the form ax+by=c.

Another miniature vehicle, a motorcycle, starts at the point (0, 2), and travels in a straight line with a constant speed. The equation of the path is:

y=0.6x +2 (x is greater than or equal to 0)

Evantually, the two miniature vehicles collide.

d) find the coordinates of the collision point.

e) if the motorcycle left point (0,2) at the same time as the car left the point (2,0), find the speed of the motorcycle.

[Mahuta ♥]

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