two dimensional kinematics Flashcards
(25 cards)
What is the definition of two-dimensional kinematics?
Two-dimensional kinematics is the study of the motion of objects in a plane, considering both horizontal and vertical components.
True or False: In two-dimensional motion, the x and y components of motion are independent of each other.
True
What are the two key components of two-dimensional motion?
Horizontal (x) and vertical (y) components.
Fill in the blank: The acceleration due to gravity in the vertical direction is approximately _____ m/s².
9.81
What is a projectile in the context of two-dimensional kinematics?
A projectile is an object that is thrown into the air and is subject to the force of gravity and air resistance.
What is the range of a projectile?
The horizontal distance traveled by a projectile before it lands.
What is the formula to calculate the range of a projectile launched at an angle θ with an initial velocity v₀?
R = (v₀² * sin(2θ)) / g, where g is the acceleration due to gravity.
True or False: The maximum height of a projectile occurs when its vertical velocity component is zero.
True
What does the term ‘trajectory’ refer to in two-dimensional kinematics?
The path that a projectile follows through space as a function of time.
What is the initial vertical velocity component of a projectile launched at an angle θ with an initial speed v₀?
v₀y = v₀ * sin(θ)
What is the initial horizontal velocity component of a projectile launched at an angle θ with an initial speed v₀?
v₀x = v₀ * cos(θ)
Fill in the blank: The horizontal motion of a projectile is considered _____ because it is unaffected by gravity.
uniform
What is the formula for the time of flight of a projectile launched at an angle θ with an initial velocity v₀?
T = (2 * v₀ * sin(θ)) / g
True or False: In a vacuum, a projectile’s horizontal and vertical motions are affected by air resistance.
False
What is the significance of the angle of projection in projectile motion?
The angle of projection determines the shape of the trajectory and influences the range and maximum height.
What is meant by ‘displacement’ in two-dimensional kinematics?
Displacement is a vector quantity that represents the change in position of an object.
What is the difference between distance and displacement?
Distance is a scalar quantity measuring the total path length, while displacement is a vector quantity measuring the shortest path between two points.
How do you calculate the resultant displacement in two dimensions?
Using the Pythagorean theorem: R = √(Δx² + Δy²)
What is the definition of velocity in two-dimensional motion?
Velocity is a vector quantity that describes the rate of change of displacement with respect to time.
What is the formula for average velocity in two-dimensional motion?
Average velocity = (Δx/Δt, Δy/Δt)
What does the term ‘uniform acceleration’ mean in two-dimensional kinematics?
Uniform acceleration means that the acceleration is constant in both the x and y directions.
Fill in the blank: The equations of motion can be applied separately to the _____ and _____ components in two-dimensional kinematics.
horizontal, vertical
What is the effect of air resistance on projectile motion?
Air resistance reduces the range and maximum height of a projectile compared to motion in a vacuum.
True or False: The path of a projectile is parabolic in shape.
True
