Two gliders with the initial velocities and masses shown below hit each other in a perfectly elastic collision (elasticity 1.0). What will be the velocity of glider 1 after the collision?

To determine the velocity of glider 1 after the collision, you would need to use the conservation of momentum principle. This involves setting up equations to account for the initial momentum and final momentum of the system. Given the initial velocities and masses of both gliders, you can calculate the velocity of glider 1 after the collision using the conservation of momentum equation: m1v1_initial + m2v2_initial = m1v1_final + m2v2_final.