Answer:
Explanation:
To determine the acceleration at the nth time given a velocity-time graph, you can use the slope of the graph at that point. The slope of a velocity-time graph represents the rate of change of velocity, which is equal to acceleration .
Here's how you can find the acceleration at the nth time using a velocity-time graph:
Identify the point on the graph corresponding to the nth time.
Draw a tangent line to the graph at that point.
Calculate the slope of the tangent line, which represents the acceleration at that time.
The slope of the tangent line can be calculated by dividing the change in velocity by the change in time. This can be expressed as:
Acceleration = (Change in velocity) / (Change in time)
By determining the change in velocity and change in time between two points on the tangent line, you can calculate the acceleration at the nth time .
It's important to note that the slope of the velocity-time graph gives the acceleration at any given point. The slope can be positive, negative, or zero, depending on the direction and magnitude of the acceleration. A positive slope indicates positive acceleration, a negative slope indicates negative acceleration (deceleration), and a zero slope indicates zero acceleration .
