All Flashcards
How do you find instantaneous velocity from a position vs. time graph?
Determine the slope of the tangent line at the point of interest on the position vs. time graph.
How do you find displacement from a velocity vs. time graph?
Calculate the area under the curve between the initial and final times on the velocity vs. time graph.
How do you find the change in velocity from an acceleration vs. time graph?
Calculate the area under the curve between the initial and final times on the acceleration vs. time graph.
How do you solve for final velocity with constant acceleration, given initial velocity and time?
Use the equation: .
How do you solve for final position with constant acceleration, given initial position, initial velocity, and time?
Use the equation: .
What is the effect of a positive slope on a position vs. time graph?
The object is moving in the positive direction.
What is the effect of a negative slope on a velocity vs. time graph?
The object is slowing down (decelerating).
What is the effect of gravity on an object thrown upwards near Earth's surface?
The object experiences a constant downward acceleration of approximately 10 m/s².
What happens to the maximum height of a projectile if gravity is halved?
The maximum height doubles.
What is the effect of constant acceleration on an object's velocity?
The object's velocity changes uniformly over time.
What is the difference between average velocity and instantaneous velocity?
Average velocity: Displacement over a time interval. Instantaneous velocity: Velocity at a specific point in time.
What is the difference between displacement and distance?
Displacement: Change in position with direction. Distance: Total length of the path traveled, regardless of direction.
Compare and contrast position vs. time graphs and velocity vs. time graphs.
Position vs. Time: Slope is velocity. Velocity vs. Time: Slope is acceleration, area is displacement.
How does the sign of acceleration relate to the direction of motion?
Positive Acceleration: Acceleration is in the positive direction, increasing velocity in that direction. Negative Acceleration: Acceleration is in the negative direction, decreasing velocity in that direction.
Differentiate between velocity and acceleration.
Velocity: Rate of change of position. Acceleration: Rate of change of velocity.