P
Princess Kasumi
Guest
1. Two trains S and T are moving with constant speeds on straight road tracks which intersects at O. At 9 a.m. S has position vector
(-10i + 24j) km and T has position vector 25j km relative to O,
where i and j are unit vectors in the directions due east and due north respectively. S is moving with speed 52 km/h and T is moving with speed 50 km/h both towards O. Find:
(a) The position vectors of S and T at time t minutes after 9 a.m.
(b) Show that the bearing of S from T remains constant during the motion and find this bearing.
(c) Show that if the trains do not change course then they will collide.
Thanks for answering. Please include steps and explanation as possible.
(-10i + 24j) km and T has position vector 25j km relative to O,
where i and j are unit vectors in the directions due east and due north respectively. S is moving with speed 52 km/h and T is moving with speed 50 km/h both towards O. Find:
(a) The position vectors of S and T at time t minutes after 9 a.m.
(b) Show that the bearing of S from T remains constant during the motion and find this bearing.
(c) Show that if the trains do not change course then they will collide.
Thanks for answering. Please include steps and explanation as possible.