True/False (#1 only)
1)The horizontal motion of a horizontally launched projectile affects its vertical motion.
False
2)The path of a projectile through space is called its.
Trajectory
I think both answers are correct.
To determine if the statement "The horizontal motion of a horizontally launched projectile affects its vertical motion" is true or false, we need to understand how a horizontally launched projectile behaves.
A horizontally launched projectile is an object that is launched or thrown horizontally, with no initial vertical velocity. This means that it has an initial velocity only in the horizontal direction and no initial velocity in the vertical direction.
Since there is no initial vertical velocity, the vertical motion of a horizontally launched projectile is solely determined by the force of gravity acting on it. The force of gravity causes the projectile to accelerate downwards with a constant acceleration of g (approximately 9.8 m/s^2). This vertical acceleration remains constant throughout the entire flight of the projectile.
On the other hand, since there is an initial horizontal velocity, the horizontal motion of the projectile is affected by this initial velocity. The horizontal motion of the projectile remains uniform, meaning that there is no horizontal acceleration since there is no force acting in the horizontal direction (assuming negligible air resistance).
Since the horizontal and vertical motions of a horizontally launched projectile are independent of each other, the horizontal motion does not affect the vertical motion. The projectile will follow a parabolic trajectory solely determined by its initial velocity and the gravitational force.
Therefore, the statement "The horizontal motion of a horizontally launched projectile affects its vertical motion" is false.
Now let's move on to the next statement.
"The path of a projectile through space is called its trajectory." This statement is true. The trajectory of a projectile refers to the path it takes while moving through space. It is a curved path due to the combined effects of the horizontal motion and the vertical motion, as influenced by gravity. The trajectory can be visualized as a parabola, with the highest point known as the vertex or peak.