Projectile motion, uniform circular motion, relative velocity in 2D.
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Q1 · Motion in Two or Three Dimensions · EASY
A projectile is fired at an angle of 30° with the horizontal with velocity 40 m/s. The maximum height reached is (g = 10 m/s²):
Q2 · Motion in Two or Three Dimensions · MEDIUM
Two particles are projected simultaneously from the same point with equal speeds in the same plane. If they strike the ground at the same point, the angle between their directions of projection is 90°. The ratio of their times of flight is:
Q3 · Motion in Two or Three Dimensions · HARD
A particle is projected with velocity u at angle θ with horizontal. The radius of curvature of its trajectory at the highest point is: