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What does the gradient of a displacement–time graph show?
Velocity (slope = velocity).
How do you find velocity on a displacement–time graph?
Velocity = change in displacement ÷ change in time.
What does a flat line mean on a displacement–time graph?
The object is stationary.
Can you find acceleration from a displacement–time graph?
No – you need a velocity–time graph for that.
What does the gradient of a velocity–time graph show?
Acceleration
How do you find displacement on a velocity–time graph?
Displacement = area under the graph.
What does a horizontal line mean on a velocity–time graph?
Constant velocity (acceleration = 0).
How do you find speed from a velocity–time graph?
Speed = total area under graph ÷ total time.
What does the y-value represent on an acceleration–time graph?
Acceleration.
How do you find change in velocity from an acceleration–time graph?
Change in velocity = area under the graph
What does a flat line above the x-axis mean on an acceleration–time graph?
Constant positive acceleration.
(s-t) What does a negative displacement mean?
The object is on the opposite side of the starting point.
(s-t) What does a negative gradient (downward slope) mean?
Moving back toward the start (negative velocity).
(v-t) What does negative velocity mean?
The object is moving in the opposite direction.
(v-t) How do you find displacement if the velocity–time graph goes below the x-axis?
Find the area above and below the x-axis separately; areas below are negative.
(v-t) What if total area is negative on a velocity–time graph?
The displacement is in the negative direction.
(v-t) How do you find distance from a velocity–time graph with negative areas?
Add absolute value of all areas (make them positive before adding).
(a-t) What does negative acceleration mean?
Deceleration (slowing down) or acceleration in the opposite direction.
(a-t) What does area under a negative acceleration–time graph represent?
Negative change in velocity (slowing down or reversing direction).