Which is equal to the slope of the tangent to the velocity-time curve at that instant?

The slope of the tangent drown on a velocity-time graph at any instant of time is equal to the instantaneous acceleration.

What type of motion is occurring when the slope of a velocity vs time graph is not zero?

The type of motion occurring when the slope of a velocity vs. time graph is not zero is the object being measured was moved with an increasing/decreasing velocity away from/toward the sensor. That is to say, the object was speeding up or slowing down.

What does a negative slope mean on a velocity time graph?

acceleration
Negative velocity and positive slope,: object is slowing down. Velocity-Time Graphs. If the V-T line has a negative slope, the object is undergoing acceleration in the negative direction.

How do you know if velocity is positive or negative?

Observe that the object below moves in the positive direction with a changing velocity. An object which moves in the positive direction has a positive velocity. If the object is slowing down then its acceleration vector is directed in the opposite direction as its motion (in this case, a negative acceleration).

What does the slope of the tangent to a velocity time graph measure?

The slope of the tangent line for a velocity vs. time graph is the instantaneous acceleration, not the velocity.

What is the tangent of a velocity time graph?

The gradient of a velocity time graph represents acceleration, which is the rate of change of velocity. If the velocity-time graph is curved, the acceleration can be found by calculating the gradient of a tangent to the curve.

What type if motion is occurring when the slope of a position vs time graph is constant?

time graph reveals pertinent information about an object’s velocity. For example, a small slope means a small velocity; a negative slope means a negative velocity; a constant slope (straight line) means a constant velocity; a changing slope (curved line) means a changing velocity.

What type of motion is occurring when the slope of a position vs time graph is changing with time?

If a position graph is curved, the slope will be changing, which also means the velocity is changing. Changing velocity implies acceleration. So, curvature in a graph means the object is accelerating, changing velocity/slope.

What does slope of velocity time graph represent?

The slope of a velocity graph represents the acceleration of the object. So, the value of the slope at a particular time represents the acceleration of the object at that instant.

What is slope of velocity time graph?

The slope in the velocity-time graph represents the acceleration. The slope is defined as the ratio of change in y-axis to change in the x-axis.