Question

summarize what information can be determined using a velocity - time graph? get it? identify what can you conclude about the acceleration of an object if the graph of its motion is a straight line on a velocity - time graph? get it? describe the meaning of a line crossing the x - axis in a velocity - time graph. describe how you determine the instantaneous acceleration of an object from a velocity - time graph.

Explanation:

1. Summary: A velocity - time graph can determine an object's velocity at any given time, displacement (area under the graph), and acceleration (slope of the graph).
2. Straight - line motion: If the graph of an object's motion is a straight line on a velocity - time graph, the acceleration is constant. This is because the slope of a straight line is constant, and slope on a velocity - time graph represents acceleration.
3. Line crossing x - axis: When a line crosses the x - axis in a velocity - time graph, the object changes its direction of motion. At the point of crossing, the velocity is zero, and before and after this point, the velocity has opposite signs.
4. Instantaneous acceleration: The instantaneous acceleration of an object from a velocity - time graph is determined by finding the slope of the tangent line to the graph at the specific point in time of interest. The slope of the tangent gives the rate of change of velocity at that instant.

Answer:

1. Velocity at a time, displacement, acceleration.
2. The acceleration is constant.
3. The object changes its direction of motion.
4. Find the slope of the tangent line to the graph at the specific time.