Question: Please attach the solution to this question 2. [In this question. the unit vectors i and j are horizontal vectors due east and north respectively]

Please attach the solution to this question

Please attach the solution to this question 2.
2. [In this question. the unit vectors i and j are horizontal vectors due east and north respectively] A ship S is moving with constant velocity (-2.5i + 6j) km h". At time 1200, the position vector of S relative to a xed origin 0 is (16i + SJ) km. Find (a) the speed of S, (b) the bearing on which S is moving. The ship is heading directly towards a submerged rock R. A radar tracking station calculates that, if S continues on the same course with the same speed, it will hit R at the time 1500. (c) Find the position vector of R. 2. (continued) The tracking station warns the ship's captain of the situation. The captain maintains S on its course with the same speed until the time is 1400. He then changes course so that S moves due north at a constant speed of 5 km h". Assuming that S continues to move with this new constant velocity, nd (d) an expression for the position vector of the ship t hours after 1400, (e) the time when S will be due east of R, (t) the distance of S from R at the time 1600

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