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3 Mechanics

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Question 61

A particle P P\,P moves with constant acceleration (3i−4j)(3\mathbf{i} - 4\mathbf{j})(3i−4j) m s−2^{-2}−2. When t=0t = 0t=0 the particle is at the origin O O\,O and is moving with velocity (2i−3j)(2\mathbf{i} - 3\mathbf{j})(2i−3j) m s−1^{-1}−1.

a.

Find the velocity of P P\,P at time t=5t = 5t=5 s.

[2]
b.

At time t=Tt = Tt=T seconds, where T>0T > 0T>0, P P\,P passes through the point AAA. The position vector of A A\,A is (ki−14j)(k\mathbf{i} - 14\mathbf{j})(ki−14j) m relative to OOO, where k k\,k is a constant. Find the value of TTT.

[3]
c.

Hence find the value of kkk.

[2]
Markscheme

3 Mechanics Questions

  1. A Level
  2. /Maths
  3. /3 Mechanics

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