The velocity-time graph for a body dropped from a certain height would show an initial spike in velocity as the object accelerates due to gravity, reaching a maximum velocity when air resistance equals the force of gravity. After this, the velocity would remain constant, representing free fall with a terminal velocity. When the object hits the ground, the velocity suddenly drops to zero.
The displacement of an object from a velocity-time graph can be determined by finding the area under the velocity-time graph. For example, the displacement over a certain time interval can be calculated by finding the area of the corresponding region under the velocity-time graph. This can be done by calculating the area of the trapezoid or rectangle formed by the graph.
In a displacement-time graph, the gradient represents velocity. In a velocity-time graph, the gradient represents acceleration.
The velocity versus time graph would be a straight line sloping downward. The velocity would start at 0 when the object is released, then increase linearly in the negative direction as it accelerates due to gravity.
From a velocity-time graph, you can calculate the acceleration by finding the slope of the graph at a certain point. The area under the graph represents the displacement of the object. You can also determine the direction of motion based on the slope of the graph (positive slope indicates motion in one direction, negative slope indicates motion in the opposite direction).
If velocity is constant, the slope of the graph on a position vs. time graph will be a straight line. The slope of this line will represent the constant velocity of the object.
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The displacement of an object from a velocity-time graph can be determined by finding the area under the velocity-time graph. For example, the displacement over a certain time interval can be calculated by finding the area of the corresponding region under the velocity-time graph. This can be done by calculating the area of the trapezoid or rectangle formed by the graph.
The area between the graph and the x-axis is the distance moved. If the velocity is constant the v vs t graph is a straight horizontal line. The shape of the area under the graph is a rectangle. For constant velocity, distance = V * time. Time is the x-axis and velocity is the y-axis. If the object is accelerating, the velocity is increasing at a constant rate. The graph is a line whose slope equals the acceleration. The shape of the graph is a triangle. The area under the graph is ½ * base * height. The base is time, and the height is the velocity. If the initial velocity is 0, the average velocity is final velocity ÷ 2. Distance = average velocity * time. Distance = (final velocity ÷ 2) * time, time is on the x-axis, and velocity is on the y-axis. (final velocity ÷ 2) * time = ½ time * final velocity ...½ base * height = ½ time * final velocity Area under graph = distance moved Most velocity graphs are horizontal lines or sloping lines.
A velocity time graph is still a velocity time graph - no matter the degree of detail that you look at it.
A horizontal line on a velocity vs. time graph represents constant velocity. This means that the object is moving at a steady speed without accelerating or decelerating. The height of the line indicates the magnitude of the velocity, while the horizontal nature indicates that this velocity remains unchanged over time.
If an x-t graph is a position-time graph, velocity is the slope of the line on the graph.
To find the time taken to acquire a certain velocity in an acceleration-time graph, locate the point on the graph where the velocity reaches the desired value. Then, find the corresponding time on the horizontal axis at that point. This time value represents the time taken to acquire the initial velocity.
The position at time t (and therefore the height of the p-t graph) will be the area under the v-t curve between time 0 and t.
In a displacement-time graph, the gradient represents velocity. In a velocity-time graph, the gradient represents acceleration.
The velocity versus time graph would be a straight line sloping downward. The velocity would start at 0 when the object is released, then increase linearly in the negative direction as it accelerates due to gravity.
Your acceleration vs. Time graph is the slope of your velocity vs. time graph
From a velocity-time graph, you can calculate the acceleration by finding the slope of the graph at a certain point. The area under the graph represents the displacement of the object. You can also determine the direction of motion based on the slope of the graph (positive slope indicates motion in one direction, negative slope indicates motion in the opposite direction).