At the maximum height, the velocity is 50.0 m/s (horizontal component) and the acceleration is approximately -9.8 m/s² (downward due to gravity).
At the maximum height of a projectile's trajectory, the vertical component of the velocity becomes zero while the horizontal component remains constant. In this scenario, the projectile reaches its apex, and the velocity vector is entirely horizontal. The initial vertical velocity component decreases due to the gravitational acceleration until it becomes zero at the maximum height.
The horizontal component of velocity, which is unaffected by gravity in the absence of air resistance, remains at its initial value of 50.0 m/s. Simultaneously, the vertical acceleration at the maximum height is approximately -9.8 m/s², directed downward. This value represents the acceleration due to gravity, causing the projectile's upward motion to gradually slow down until it momentarily stops at the highest point.