Question

During the course of a trajectory, is the vertical component of the velocity a constant or a changing value? ___________________ If it is a changing value, then describe its changes (increasing, decreasing, or ...)

Answer 1

Answer:

1) Changing value

2) The velocity is decreasing for upward motion and increasing for downward motion due to gravitational force

Explanation:

1) A trajectory is the motion of an object which is being acted upon by specified forces. The flight path of an object in projectile motion is its trajectory

During the course of a trajectory, the vertical component of the velocity, $v_y$, is a changing value

2) The vertical component of the velocity first decreases, during the upward motion, according to the following equation;

$v_y$ = $u_y$ - g·t

Where;

$v_y$ = The vertical component of the velocity after a given time, t

$u_y$ = The initial vertical velocity

t = The time of motion of the trajectory

g = The acceleration due to gravity ≈ 9.8 m/s²

When the vertical velocity of the object decreases to zero, which is the point at which the object reaches the maximum height of its motion, the direction of the vertical motion of the object reverses, and object begins to accelerate and increase its velocity downwards according to the following equation;

$v_y$ = $u_y$ + g·t

Therefore, the velocity of the object is decreasing on its way up, and then increasing on its way down.