$\text{Another easy True-False Question!}$

You don't need any special knowledge of projectile, only the definition of velocity and have that much observation how a projectile's shape is. When it is at maximum height it does not go any above, which means it's velocity in the vertical direction must be 0 otherwise it should have gone up. But we know from the shape or path it will go further horizontally, which means it has horizontal velocity. So false.

Actually, the velocity of a projectile in the vertical direction is $0$ at maximum height, but the horizontal velocity, i.e., $v_x=u_x=u\cos{\theta}$ is not $0$ . Hence, the velocity of projectile as a whole is not $0$ .