The slope of a Velocity versus Time graph will tell you the object’s what

acceleration

The slope of a Velocity versus Time graph tells you the object's acceleration.

The slope of a Velocity versus Time graph will tell you the object's acceleration.

To understand how the slope of a Velocity versus Time graph represents acceleration, you need to recall some basic concepts of calculus. The slope of a graph indicates the rate at which the dependent variable (in this case, velocity) changes with respect to the independent variable (in this case, time).

Acceleration is defined as the rate of change of velocity with respect to time. Therefore, if you calculate the slope of a Velocity versus Time graph, you are essentially determining how the velocity is changing per unit of time, which is the definition of acceleration.

To find the slope of a Velocity versus Time graph, you need to select two points on the graph and calculate the change in velocity divided by the change in time between those two points. This slope value will give you the average acceleration between those two points on the graph. If you want to calculate the instantaneous acceleration at a specific point, you need to find the slope of the tangent line at that particular point. This can be achieved by choosing points closer and closer to the desired point and calculating their slopes until an approximation of the tangent line is obtained.

In summary, the slope of a Velocity versus Time graph represents the object's acceleration, which is the rate of change of velocity with respect to time.

I'll give you a hint: It's either Instantaneous Velocity, Speed, or Acceleration. I'll give you a few minutes to figure it out and I will tell you the answer :)