Practice the right questions.
Score the right marks.

Find the river flow velocity using the raft's reference frame. A classic relative motion problem with an elegant one-line solution.

Half the distance at one speed, remaining half split by equal time at two different speeds. A classic average velocity problem.

A car accelerates, moves uniformly, and decelerates. Find the uniform motion time from average velocity and total time using the v-t graph area.

Read average velocity, maximum velocity, and the time when instantaneous velocity equals mean velocity from an s-t graph with three phases.

Find the vector condition for two particles with constant velocities to collide. A beautiful application of cross products and relative motion.

A ship sails east while southeastern wind blows. Find the apparent wind velocity and direction in the ship's frame using vector subtraction.

One swims diagonally, the other goes perpendicular then walks. Find the walking speed for simultaneous arrival. A classic river-boat problem.

Two boats leave a buoy: one goes parallel, the other perpendicular to the current. Find the time ratio. A beautiful harmonic mean problem.

A boat slower than the river current must cross with minimum drift. A classic optimization problem using calculus to find the ideal angle.