Which quantity is described in the slope in the distance-time graph for a given time interval?
My answer is instantaneous velocity
if it's over an interval, it would be the average velocity.
The instantaneous velocity is the slope of the tangent line at a point on the curve.
But in this four choices,
average acceleration
change in velocity
instantaneous velocity
total distance travelled
instantaneous velocity is right...?
Your answer is incorrect. The quantity described by the slope in a distance-time graph for a given time interval is the average velocity. Average velocity is calculated by dividing the change in distance by the change in time. It is important to note that average velocity represents the overall rate at which an object changes its position over a given time interval, while instantaneous velocity represents the object's rate of change at a specific moment in time.
The quantity described by the slope in a distance-time graph for a given time interval is actually the average velocity. The average velocity is defined as the change in distance divided by the change in time during that interval. To calculate the slope or average velocity, you need to find the difference in distances between two points on the graph and divide it by the difference in their corresponding time values.
If you know the two points on the graph, A and B, with coordinates (timeA, distanceA) and (timeB, distanceB), then the average velocity between those points can be calculated using the formula:
Average Velocity = (distanceB - distanceA) / (timeB - timeA)
Keep in mind that average velocity gives you the average rate of change of position over a specific time interval, whereas instantaneous velocity would require you to find the slope (or derivative) at a specific point on the graph, which gives you the velocity at that exact moment.