Motion in a Plane

Vectors, projectile motion, uniform circular motion and relative velocity in 2D.

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Q1 · Motion in a Plane · EASY
A projectile is fired at an angle of 30° with the horizontal with an initial velocity of 40 m/s from the ground. What is the maximum height reached by the projectile? (Take g = 10 m/s²)
Q2 · Motion in a Plane · MEDIUM
A projectile is launched from ground level at an angle of 30° with the horizontal with an initial speed of 40 m/s. What is the radius of curvature of its trajectory at the highest point? (Take g = 10 m/s²)