A boat can move at $4.0\ \text{m s}^{-1}$ relative to the water, directed due north. The river flows eastward at $3.0\ \text{m s}^{-1}$. Determine the speed of the boat relative to the ground and the direction of its motion measured as the angle east of north (to the nearest degree).

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Speed = 5.0 m/s, direction = 37° east of north

Igcse Model Questions Vol1 2023 Physics Question 35

A boat can move at \(4.0\ \text{m s}^{-1}\) relative to the water, directed due north. The river flows eastward at \(3.0\ \text{m s}^{-1}\). Determine the speed of the boat relative to the ground and the direction of its motion measured as the angle east of north (to the nearest degree).

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