When a boat moves in water, its ground velocity is the vector sum of its velocity relative to water and the water velocity relative to ground. The water in a river moves with velocity u along +x and the river width is d. A boat starts from point (1,0), aims perpendicular to the river, and has transverse acceleration a=5t, where t is in SI units.
Physics · Kinematics part-3 Relative motion · River problem
When a boat moves in water, its ground velocity is the vector sum of its velocity relative to water and the water velocity relative to ground. The water in a river moves with velocity u along +x and the river width is d. A boat starts from point (1,0), aims perpendicular to the river, and has transverse acceleration a=5t, where t is in SI units.
Sub-question 1
Obtain the total time taken to cross the river.
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Sub-question 2
Find the equation of trajectory of the boat.
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Sub-question 3
Find the drift of the boat when it is in the middle of the river.
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