A basketball player shoots a free-throw with initial velocity v₀ = 9.5 m/s at an angle = 25 above the horizontal. Use a Cartesian coordinate system with the origin located at the position the ball was released, with the ball's horizontal velocity in the positive x direction and vertical component in the positive y-direction. Assume the basketball encounters no air resistance.

Determine the maximum vertical heighth_max, in meters, the ball attains above the release point.

Determine the time,tin seconds, the basketball takes to reach its maximum vertical height.