24 Questions
What does the gradient of a displacement-time graph represent?
Velocity
What does the gradient of a velocity-time graph represent?
Acceleration
What does the area beneath a velocity-time graph represent?
Displacement
What is the velocity of the car at 12 seconds?
21 ms^-1
What is the nature of velocity in a straight line?
Vector
What is the significance of a curved displacement-time graph?
The object is accelerating
What is the mistake in the student's calculation of velocity at 12 seconds?
The student did not calculate the gradient of the graph
How would you calculate the acceleration from a velocity-time graph?
By finding the gradient of the graph
What is required to calculate the velocity of the car at 6 seconds?
Drawing a tangent to the graph
What is the shape of the displacement-time graph of a bouncing ball?
Oscillating line
What does the area beneath the velocity-time graph represent?
The total displacement of the car
What is the purpose of sketching a velocity-time graph?
To visualize the velocity of the car over time
From the velocity-time graph of an object, what can be calculated?
Acceleration and displacement
What should be placed on the vertical axis of the velocity-time graph?
Velocity values
What is the total displacement of the car shown on the displacement-time graph?
500m
What is the shape of the displacement-time graph at 6 seconds?
Curve
What is the total displacement of an object calculated from in a velocity-time graph?
The area beneath the line
What type of quantity is velocity?
Vector
What is the significance of a straight line in a velocity-time graph?
The object is accelerating at a constant rate
What is the direction of velocity considered positive in a horizontal motion?
To the right
What type of graph is used to calculate the total displacement of an object?
Velocity-time graph
What is the shape of the area beneath the line in a velocity-time graph for an object with constant acceleration?
Triangle
What is the characteristic of a velocity-time graph for a bouncing ball?
A sinusoidal line
What is the relationship between displacement and velocity in a velocity-time graph?
Displacement is the area beneath the velocity-time graph
Study Notes
Displacement-Time and Velocity-Time Graphs
- The gradient of a displacement-time graph represents velocity.
- The gradient of a velocity-time graph represents acceleration.
- The area beneath a velocity-time graph represents the total displacement of an object.
Calculating Velocity and Acceleration
- To calculate velocity from a displacement-time graph, a tangent should be drawn on the graph at a specific point to find the instantaneous gradient.
- To calculate acceleration from a velocity-time graph, the gradient of the graph at a specific point should be calculated.
Velocity as a Vector
- Velocity is a vector quantity, described by a magnitude (size) and a direction.
- For motion along a straight line, velocity can be positive (moving in one direction) or negative (moving in the opposite direction).
Graphical Analysis
- A straight line on a velocity-time graph indicates constant acceleration.
- The area beneath a velocity-time graph can be calculated to find the total displacement of an object.
- The area beneath the graph can be calculated by finding the area of a triangle (when the graph forms a triangle with the horizontal axis).
Bouncing Ball Graphs
- A displacement-time graph for a bouncing ball would show a curved shape, indicating varying velocity.
- A velocity-time graph for a bouncing ball would show a series of peaks and troughs, indicating periods of acceleration and deceleration.
This quiz is about calculating velocity given displacement and time values from a graph. It tests understanding of physics concepts and graph interpretation.
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