select the correct answer. which statement is true for the highest point of a projectile trajectory? a. the…

select the correct answer. which statement is true for the highest point of a projectile trajectory? a. the horizontal component of velocity is zero. b. the vertical component of velocity is zero. c. the resultant velocity is zero. d. the horizontal component of velocity changes direction. e. the vertical velocity component of velocity is the maximum.
Answer
Explanation:
Step1: Analyze projectile motion
In projectile motion, the horizontal - direction has no acceleration ($a_x = 0$) and the vertical - direction has an acceleration $a_y=-g$ (where $g$ is the acceleration due to gravity).
Step2: Consider velocity components at highest point
The horizontal component of velocity $v_x$ remains constant throughout the motion because there is no horizontal acceleration, i.e., $v_x = v_{0x}$ (initial horizontal velocity). At the highest point of the projectile's trajectory, the vertical motion changes direction. The vertical velocity $v_y$ decreases as the projectile moves up and becomes zero at the highest point before it starts to fall downwards. The resultant velocity $v=\sqrt{v_x^{2}+v_y^{2}}$, and since $v_x\neq0$ and $v_y = 0$ at the highest point, $v\neq0$.
Answer:
B. The vertical component of velocity is zero.