A-Level Edexcel Maths Mechanics Constant Acceleration - 1D: [In this question, the unit vect

Question

[In this question, the unit vectors i and j are due east and due north respectively:]

A particle P is moving with constant velocity (−5i + 8j) m s⁻¹. Find

(a) the speed of P,

(b) the direction of motion of P, giving your answer as a bearing.

At time t = 0, P is at the point A with position vector (7i − 10j) m relative to a fixed origin O. When t = 3 s, the velocity of P changes and it moves with velocity (u i + v j) m s⁻¹, where u and v are constants. After a further 4 s, it passes through O and continues to move with velocity (u i + v j) m s⁻¹.

(c) Find the values of u and v.

d) Find the total time taken for P to move from A to a position which is due south of A.

[In this question, the unit vectors i and j are due east and due north respectively:] A particle P is moving with constant velocity (−5i + 8j) m s⁻¹ - Edexcel - A-Level Maths Mechanics - Question 6 - 2008 - Paper 1

Worked Solution & Example Answer:[In this question, the unit vectors i and j are due east and due north respectively:] A particle P is moving with constant velocity (−5i + 8j) m s⁻¹ - Edexcel - A-Level Maths Mechanics - Question 6 - 2008 - Paper 1

a) the speed of P

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