All Flashcards
What are the key differences between horizontal and vertical motion in projectile motion (ignoring air resistance)?
Horizontal Motion: Constant velocity, zero acceleration. | Vertical Motion: Constant acceleration (due to gravity), changing velocity.
Compare and contrast velocity and acceleration in multi-dimensional motion.
Velocity: Can change in both magnitude and direction. | Acceleration: Can vary between dimensions and may be non-uniform.
Compare the motion of a projectile at its launch point versus at its maximum height.
Launch Point: Non-zero vertical and horizontal velocity components. | Maximum Height: Zero vertical velocity, non-zero horizontal velocity.
Differentiate between quantitative and qualitative analysis in the context of 2D and 3D motion.
Quantitative Analysis: Involves precise numerical calculations and measurements (common in 2D). | Qualitative Analysis: Focuses on descriptions and observations without specific numerical values (may be used in 3D).
Compare the effect of gravity on horizontal versus vertical motion of a projectile.
Horizontal Motion: Gravity has no direct effect (assuming no air resistance). | Vertical Motion: Gravity causes constant downward acceleration.
Define multi-dimensional motion.
Motion in more than one dimension (e.g., 2D or 3D space), requiring analysis of motion components along different axes.
Define component analysis in the context of motion.
The process of breaking down a vector (like velocity or acceleration) into its components along different axes (typically x, y, and z) to analyze motion in each direction independently.
Define projectile motion.
The motion of an object thrown or projected into the air, subject to only the acceleration of gravity (ignoring air resistance).
Define trajectory.
The path followed by a projectile, typically a parabola under the influence of gravity (assuming constant gravitational acceleration and negligible air resistance).
Define range in projectile motion.
The horizontal distance traveled by a projectile from its launch point to the point where it returns to the same vertical level.
Define the x-component of velocity in projectile motion (assuming no air resistance).
The horizontal component of velocity, which remains constant throughout the projectile's flight because there is no horizontal acceleration.
What is the effect of increasing the launch angle of a projectile (while keeping initial velocity constant) on its range?
The range increases up to a launch angle of 45°, then decreases for angles greater than 45° (assuming level ground).
What is the effect of gravity on the vertical velocity of a projectile?
Gravity causes a constant downward acceleration, decreasing the upward vertical velocity until it reaches zero at the maximum height, then increasing the downward vertical velocity.
What effect does increasing initial velocity have on the range of a projectile?
Increasing the initial velocity increases the range of the projectile (assuming all other factors remain constant).
What happens to the time of flight of a projectile if the initial vertical velocity is increased?
The time of flight increases because it takes longer for gravity to bring the projectile back down.
What is the effect of launching a projectile on a planet with higher gravitational acceleration?
The range and maximum height of the projectile will decrease, and the time of flight will be shorter.