Projectile Motion Landing Time · PhysicsBowl 2021 #25
Physics · mechanics
Problem
Two balls, A and B, are launched simultaneously from the origin (O) on a level surface at the respective angles of 60° and 30° shown in the picture. Ball A has a launch speed v while Ball B has a launch speed 2v. Ball A lands T seconds after launch at a horizontal distance D from the origin.
[Figure: Shows two projectile paths with Ball A at 60° angle and Ball B at 30° angle]
How many seconds after launch does Ball B land?
A) 0.50T B) 0.87T C) 1.15T D) 1.73T E) 2.00T