Physics (AS & A Level) · Oct / Nov 2023 · Paper 13 · Question 4

A boat is crossing a river in which the water is moving at a speed of 4.0 m s⁻¹ from left to right. [diagram: river banks, velocity of water 4.0 m s⁻¹, velocity of boat in still water 6.0 m s⁻¹, angle θ, resultant velocity v] In still water, the speed of the boat is 6.0 m s⁻¹. The boat is directed at an angle θ to a line perpendicular to the river banks. The resultant velocity v of the boat is in a direction perpendicular to the river banks. What are the values of θ and v?

1. Aθ = 42°, v = 4.5 m s⁻¹
2. Bθ = 42°, v = 7.2 m s⁻¹
3. Cθ = 48°, v = 4.5 m s⁻¹
4. Dθ = 48°, v = 7.2 m s⁻¹

As printed in the paper