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What is the formula for Kinematics #1?
a = (vf - vi) / t
What is the formula for Kinematics when acceleration is constant or zero?
v = (vi + vf) / 2
What does Fg = mg represent?
Weight or gravitational force.
What is the formula for net force in dynamics?
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What is the formula for distance in two-dimensional motion?
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What is the formula to calculate time in two-dimensional motion?
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What is the formula for the magnitude of initial velocity with vertical component?
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In free fall, mass is needed to determine the motion.
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What does the relationship between the acceleration of an object falling freely indicate?
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What is the acceleration due to gravity when an object is dropped downward?
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What happens to an object thrown upwards?
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Nonzero acceleration has a curve going right.
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What is meant by constant nonzero acceleration?
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What combination of changes increases the time of flight for a launched tennis ball?
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What launch angle results in the greatest horizontal distance for a golf ball returning to ground?
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What does g = Gm/r² represent?
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If balls are thrown from the same height, they will reach the ground at the same time.
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How to find the distance when a ball is thrown horizontally?
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What is the formula for the horizontal component of initial velocity?
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What occurs when a ball is thrown at an angle above the horizontal at its highest point?
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What does the slope on the position-time graph represent?
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What is the formula for slope?
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Study Notes
Kinematics
- The formula for acceleration is represented as a = (vf - vi) / t, where vf is final velocity, vi is initial velocity, and t is time.
- For constant acceleration or no acceleration, average velocity can be calculated as v = (vi + vf) / 2.
Dynamics
- The force of gravity acting on an object is expressed as Fg = mg, where m is mass and g is acceleration due to gravity (approximately 9.81 m/s²).
- The net force acting on an object can be calculated using Fnet = ma, where m is mass and a is acceleration.
Two-Dimensional Motion
- The distance in the horizontal motion can be calculated with d = (vx)(t), where vx is horizontal velocity and t is time.
- Time of flight in a projectile motion can be determined by the formula t = (vi * sinθ) / g, where vi is initial velocity, θ is the launch angle, and g is acceleration due to gravity.
Vertical Motion Components
- The vertical component of the initial velocity is found using Vy = (vi)(sinθ).
- In free fall, the mass of the object does not influence its acceleration.
Free Fall Characteristics
- The relationship between acceleration and falling objects indicates that when there is no velocity, there is no acceleration.
- Objects dropped experience a downward acceleration of +9.81 m/s².
Motion Dynamics
- For objects thrown upwards, the trajectory will eventually lead back down due to gravity.
- Nonzero acceleration results in a curve in the motion path.
Acceleration Types
- Constant nonzero acceleration represents uniform acceleration, indicating a steady increase or decrease of velocity over time.
Projectile Motion Analysis
- Increasing both the launch angle and the initial speed of a projectile will result in greater time of flight.
- A launch angle of 45 degrees maximizes the horizontal distance traveled by a projectile.
Additional Factors in Motion
- The acceleration magnitude due to gravity is given by g = Gm/r², relating gravitational force to mass and distance from the center of the Earth.
- If two balls are thrown from the same height, they will reach the ground simultaneously, assuming air resistance is negligible.
Position and Velocity
- A ball thrown horizontally maintains a horizontal speed while being influenced by gravity vertically, where vi for vertical motion is zero.
- The horizontal velocity can be calculated using Vx = Vi * cosθ, where θ is the launch angle.
Projectile Peak Characteristics
- At the peak of a projectile’s trajectory, its vertical component of velocity equals zero, while horizontal components maintain their velocities.
Graph Interpretation
- The slope of a position-time graph represents the object's velocity, indicating speed and direction of motion.
- The slope is calculated by the change in y (position) divided by the change in x (time).
Studying That Suits You
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Description
Test your knowledge of essential physics formulas that are not included in the reference table. This set of flashcards covers various topics such as kinematics, dynamics, and two-dimensional motion. Perfect for physics students looking to strengthen their understanding of key concepts.