0
You can calculate the tangent for a give time, T, as follows:
Substitute the value of the time in the distance-time equation to find the distance at the given time. Suppose it is f(T).
Differentiate the distance-time equation with respect to time. For any given time, substitute its value in the derivative and evaluate. That is the gradient of the tangent, v.
Then equation of the tangent is
f(T) - f(t) = v*(T - t)
Wiki User
∙ 11y ago
Add your answer:
Earn +20 pts
What does the slope of distance versus time graph represent physically?
Tangent of the slope at any point = velocity
What does a tangent to a velocity-time graph measure?
It will measure acceleration in the direction towards or away from the origin.
What does the slope of a time vs distance graph equal?
Slope of time Vs distance graph gives the inverse of velocity.
Is Average velocity the slope of the line tangent to the curve on a velocity time graph at a specific instant of time?
No, it is instantaneous acceleration.
Can a position time graph be created from a velocity time graph?
Distance travelled from a velocity / time graph can be calculated from area under graph, say area under (v/t) graph from 0 - 1 seconds = distance travelled after 1 second, then do 0 - 2 seconds, 0 - 3 etc for set of data for distance / time graph
Which method is used to calculate the slope on a distanced-time graph?
Slope = change in y (distance) / change in x (time). If the graph is not a straight line then either apply the above formula to the tangent at the point of interest or differentiate the equation of the graph.
How is a distance- time graph different than a speed time graph?
The variable plotted along the vertical axis is the distance in the first case, speed in the second. The gradient of (the tangent to) the distance-time graph is the speed while the area under the curve of the speed-time graph is the distance.
How can you calculate the speed in a distance time graph?
speed is the gradient under the distance vs time graph which is change in distance /change in time
How is the instantaneous speed obtained from a speed - time graph?
By drawing a tangent to the slope and dividing the perpendicular distance by base distance.
Why area below the distance-time graph is used to calculate speed?
That's not correct. If you have a graph of distance as a function of time, the speed is the slope of the graph.
What does the slope of distance versus time graph represent physically?
Tangent of the slope at any point = velocity
What feature of a distance per time graph represents speed?
The gradient (slope) of the tangent to the graph at the given time - provided that it exists. If the graph is a straight line at that point, it is the gradient of that line.
How do you calculate speed of a distance time graph?
Speed (in the radial direction) = slope of the graph.
What does speed formula mean?
Probably: Average Speed = Total Distance/Total Time. or Instantaneous Speed = Gradient of the tangent to the Distance v Time graph.
Can you calculate speed from a motion graph?
If you graph distance vs. time, the slope of the line will be the average speed.
What is the difference between a velocity time graph and a position time graph?
Simply put, a velocity time graph is velocity (m/s) in the Y coordinate and time (s) in the X and a position time graph is distance (m) in the Y coordinate and time (s) in the X if you where to find the slope of a tangent on a distance time graph, it would give you the velocity whereas the slope on a velocity time graph would give you the acceleration.
How do you calculate the distance in the s-t graph?
The distance covered between two points in time is the area under the graph between the two points.
