Hey guys, I need some help doing this question, it looks more like a 3u question then 2u, but nevertheless, it's q10 from the 1978 paper.
Two cares, respresented by pts A and B, are travelling due east and north respectively along two road represented by two straight lines intersecting at O. At a certain instant, car A is 2 km west of O and car B is 1km south of O, the former travelling at a constant speed of 1km/minute and the latter at a constant speed V km/minute.
(a) What value of V will cause a collison?
(b) Prove that, in the course of motion, the MINIMUM distance between the cars is
|2V-1|/(v^2+1)^0.5 km. (the top is aboslute value of 2V-1 and the bottom is square root of v squared + 1.
Two cares, respresented by pts A and B, are travelling due east and north respectively along two road represented by two straight lines intersecting at O. At a certain instant, car A is 2 km west of O and car B is 1km south of O, the former travelling at a constant speed of 1km/minute and the latter at a constant speed V km/minute.
(a) What value of V will cause a collison?
(b) Prove that, in the course of motion, the MINIMUM distance between the cars is
|2V-1|/(v^2+1)^0.5 km. (the top is aboslute value of 2V-1 and the bottom is square root of v squared + 1.