An automated underwater vehicle (AUV) is moving through a calm lake at a constant velocity v=1.8i m s−1\mathbf{v} = 1.8\mathbf{i}\text{ m s}^{-1}v=1.8i m s−1. It is subject to exactly two constant horizontal forces: the drag from the water D=(−18.6i+24.5j) N\mathbf{D} = (-18.6\mathbf{i} + 24.5\mathbf{j})\text{ N}D=(−18.6i+24.5j) N and the propulsion thrust P=(αi−24.5j) N\mathbf{P} = (\alpha\mathbf{i} - 24.5\mathbf{j})\text{ N}P=(αi−24.5j) N.
Determine the value of α\alphaα.
Select your answer from the following:
−24.5-24.5−24.5
−18.6-18.6−18.6
18.618.618.6
24.524.524.5
136 exam-style questions on CCEA A Level Maths 2.3 Forces and Newton's laws, covering 2.3.1 Forces and Newton's laws, 2.3.2 Forces and Newton's laws, 2.3.3 Forces and Newton's laws, 2.3.4 Forces and Newton's laws, 2.3.5 Forces and Newton's laws, 2.3.6 Forces and Newton's laws, 2.3.7 Forces and Newton's laws, 2.3.8 Forces and Newton's laws, 2.3.9 Forces and Newton's laws, 2.3.10 Forces and Newton's laws, 2.3.11 Forces and Newton's laws, 2.3.12 Forces and Newton's laws, and 2.3 Forces and Newton's laws. Each one has a worked solution and a mark scheme showing where the marks go.