A particle starts from origin at t = 0 with a velocity 5î m/s and moves in x-y plane under action of a force which produces a constant acceleration of (3î + 2ĵ) m/s². If the x-coordinate of the particle at that instant is 84 m, then the speed of the particle at this time is √α m/s. The value of α i s ______.

Physics · Kinematics part-2 Projectile Motion · Ground to ground projectile

JEE Mains 2024

A particle starts from origin at t = 0 with a velocity 5î m/s and moves in x-y plane under action of a force which produces a constant acceleration of (3î + 2ĵ) m/s². If the x-coordinate of the particle at that instant is 84 m, then the speed of the particle at this time is √α m/s. The value of α is ______.