Displacement from Graph

What does a position-time graph represent?

• The relationship between an object's position and time.

• The speed of an object at different points in time.

• The acceleration of an object at different points in time.

• The distance traveled by an object at different points in time.

How can you determine the velocity from a velocity-time graph?

• By finding the area under the graph

• By measuring the height of the graph

• By finding the slope of the graph

• By counting the number of points on the graph

What does the slope of an acceleration-time graph represent?

• Time taken to reach maximum acceleration

• Magnitude of acceleration

• Rate of change of acceleration over time

• Rate of change of velocity over time

How can you calculate the displacement from a straight line graph?

• Measure the slope of the graph.

• Find the area under the graph.

• Divide the total distance by the time taken.

• Find the difference between the final position and the initial position on the graph.

What is the formula to calculate displacement using the area under the graph?

• displacement = width of the graph

• displacement = length of the graph

• displacement = area under the graph

• displacement = height of the graph

If the slope of a position-time graph is positive, what does it indicate about the object's motion?

If the velocity-time graph is a horizontal line, what can you say about the object's motion?

• The object is not moving.

• The object is accelerating.

• The object's velocity is constant.

• The object is decelerating.

What does a negative slope on an acceleration-time graph indicate?

• No change in speed

• Deceleration or slowing down

• Acceleration or speeding up

• Constant speed

How can you calculate the displacement of an object from a curved graph?

• Differentiate the velocity function over the given time interval to find the displacement.

• Multiply the velocity function by the time interval to find the displacement.

• Divide the velocity function by the time interval to find the displacement.

• Integrate the velocity function over the given time interval to find the displacement.

What is the unit of measurement for displacement?

• inches

• meters

• seconds

• kilometers