Test skills in Newton’s laws and motion.

IIT JEE Mechanics Numericals
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Test skills in Newton’s laws and motion.
Account for g=9.8 m/s² and the start-time offset.
Translate each car’s motion into position functions; solve intersection or show none.
A boat is moving downstream on a river. The river flows at a speed of 3 m/s relative to the riverbank. The boat’s engine propels it at a speed of 7 m/s relative to the water.
Determine the speed of the boat relative to the riverbank (absolute motion).
If the boat turns around and starts moving upstream, what will be its speed relative to the riverbank?