Consider a ball in projectile motion under gravitational force so that it is has motion in both the vertical and horizontal directions. The effects of air friction may be ignored. When the ball reaches the highest point in its trajectory, what can be said about the magnitudes of the ball's velocity and acceleration vectors? Select the correct answer

a. The horizontal components of both the velocity and acceleration are zero.
b. The magnitude of velocity is zero, but the acceleration is a constant
c. The magnitudes of both velocity and acceleration are zero
d. The magnitude of acceleration is zero but the ball has a positive velocity
e. The magnitude of velocity is at its minimum nonzero value, but the magnitude of acceleration is a constant

e.)The magnitude of velocity is at its minimum nonzero value, but the magnitude of acceleration is a constant

Explanation:

The speed of horizontal projectile is always constant for the duration of its flight. The reason behind this is that immediately the object is launched, the horizontal forces acting on the projectile is recorded as zero, and here the air resistance is negligible because because it is very minute therefore, horizontally projectile always travel at a constant speed.

At the same time, There is unbalanced forces directly acting on the ball and this will make the ball to accelerate into downward direction, Hence, the motion of vertical projectile is supported by the force of gravity. Since the vertical speed is not constant, acceleration is constant

Therefore, the magnitudes of the ball's is at the minimum nonzero value and velocity and acceleration vectors is constant.

if they have a finite resultant