Speed is found by dividing the distance by the time. S=D/T You can use this equation for any point on the graph.
A distance time graph would show the distance traveled.
Well, no. If the graph is a straight diagonal line, then the DISTANCE is steadily increasing, not the speed. This would translate into a constant speed. If the speed is steadily increasing, the object would travel more distance per unit time as we move along the horizontal axis. Meaning, the graph would curve upward.
It would be a horizontal line, with a y-coordinate at the starting distance.
The answer will depend on whether the graph is a distance time graph or a speed time graph.The slope of a distance-time graph shows that speed of the object in the direction towards or away from the point of reference (usually the origin). It indicates absolutely nothing about its speed in any other direction. So, for example, an object could be rotating around the origin at the speed of light (the fastest possible) and the distance-time graph would show it being stationary bacause its distance from the origin is not changing!The slope of the speed-time graph indicated the acceleration of the object, again with the same qualification.
The slope of the line would decrease.
A distance time graph would show the distance traveled.
At constant speed, the distance/time graph is a straight line, whose slope is equal to the speed.
Speed = distance / time A line graph with distance on the vertical axis and time on the horizontal axis could be used to determine speed. The speed would equal the slope of the line. Alternatively, a line graph with distance/time on the vertical axis and time on the horizontal axis would show speed. The acceleration would equal the slope of the line.
A distance vs time squared graph shows shows the relationship between distance and time during an acceleration. An example of an acceleration value would be 3.4 m/s^2. The time is always squared in acceleration therefore the graph can show the rate of which an object is moving
Well, no. If the graph is a straight diagonal line, then the DISTANCE is steadily increasing, not the speed. This would translate into a constant speed. If the speed is steadily increasing, the object would travel more distance per unit time as we move along the horizontal axis. Meaning, the graph would curve upward.
If the line formed by the graph is straight, the speed is constant. A horizontal line would show the object as stationary.
It would be a horizontal line, with a y-coordinate at the starting distance.
-- If the graph displays speed against time, then speed of zero is indicated wherever the graph-line touches the x-axis. -- If the graph displays distance against time, then speed of zero is indicated wherever the graph-line is horizontal. -- If the graph displays acceleration (magnitude) against time, then the graph can tell you when speed is increasing or decreasing, but it doesn't show what the actual speed is.
The answer will depend on whether the graph is a distance time graph or a speed time graph.The slope of a distance-time graph shows that speed of the object in the direction towards or away from the point of reference (usually the origin). It indicates absolutely nothing about its speed in any other direction. So, for example, an object could be rotating around the origin at the speed of light (the fastest possible) and the distance-time graph would show it being stationary bacause its distance from the origin is not changing!The slope of the speed-time graph indicated the acceleration of the object, again with the same qualification.
The slope of the line would decrease.
The answer depends on whether it is a distance-time graph, speed-time graph or something else.
Instantaneous speed at time t can be found by calculating the derivative of the distance function at time t. This is the same as finding the slope of the line which is tangent to (i.e. intersects at only one point) the distance graph at time t. If you can describe the distance as a function, then you can find the function for speed by taking the derivative of the entire equation. Similarly, you can find the acceleration by taking the derivative of the speed function. For instance, if the distance x with respect to time t is: x(t) = 5t^3 then the velocity v with respect to time t would be: v(t) = x' = 15t^2 and the acceleration a with respect to time t would be: a(t) = v' = x'' = 30t So, from that we can figure out the distance, speed, and acceleration at any time t just from the distance graph. For instance, at time t=10, we know that the distance is: x(10) = 5*10^3 = 5000 meters and the speed is: v(10) = 15*10^2 = 1500 meters per second and the acceleration is: a(10) = 30*10 = 300 meters per second squared