Final answer:
At the highest point of its trajectory in projectile motion, a projectile has a velocity that is non-zero due to its horizontal component, while the acceleration is non-zero and is due to gravity.
Step-by-step explanation:
In projectile motion, at the highest point of the projectile's trajectory, the vertical component of the velocity is zero because it has reached its peak and is about to start descending. However, unless the projectile was fired straight up, there is still a horizontal component of velocity, meaning the total velocity is non-zero.
At the same time, the acceleration is non-zero because gravity is still acting on the projectile, pulling it down towards Earth. Gravity provides a constant acceleration of approximately 9.81 m/s2 downwards, even at the highest point.