the slope of a velocity-time graph represents?
the area under a velocity time-graph represents?
the slope of a line drawn tangent to a curved position-time graph represents..?
slope of velocity-time? Acceleration
area under velocity-time? distance
slope on position-time? instaneous velocity
You need to make certain you know why on these. Anybody can repeat answers.
The slope of a velocity-time graph represents the acceleration. To find the slope, you need to calculate the change in velocity over the change in time. The formula for finding slope is:
slope = (change in velocity) / (change in time)
To calculate the change in velocity, subtract the initial velocity from the final velocity. Then, divide this difference by the change in time, which is the difference between the final and initial time. The resulting value will give you the acceleration.
The area under a velocity-time graph represents the displacement or distance traveled. To find the area, you need to calculate the integral of the velocity over the given time interval.
If the velocity-time graph is a straight line, the area can be calculated by multiplying the length of the base (time) by the height (velocity). This will give you the displacement (distance traveled) during that time interval.
If the velocity-time graph is a curve, you will need to use calculus to find the exact area under the curve. You can integrate the function that represents the velocity with respect to time over the given time interval. The result of the integral will give you the displacement or distance traveled.
The slope of a line drawn tangent to a curved position-time graph represents the instantaneous velocity at that point. In other words, it shows how fast an object is moving at a specific moment in time. To find the slope, you need to draw a tangent line that touches the curve at the desired point. Then, calculate the rise (change in position) divided by the run (change in time) along that line. This will give you the instantaneous velocity at that specific point.