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Why the area under a speed-time graph gives distancestan?
The area under a speed-time graph gives distance because distance traveled is equal to the product of speed and time traveled. By calculating the area under the speed-time graph, you are essentially finding the total distance traveled by integrating the speed function with respect to time.
A graph is constructed such that time in hours is the x-variable and distance in miles is the y-variable If you plot the distance that a car travels on the graph traveling at a speed of 60 miles?
If a car travels at a constant speed of 60 miles per hour, then the graph of distance vs. time will be a straight line with a slope of 60. This means that for every hour that passes, the car will have traveled 60 miles. The equation for this line would be y = 60x, where y is the distance traveled in miles and x is the time in hours.
What does the area under the a speed time graph represent?
The area under a speed-time graph represents the distance traveled by an object. It is calculated by finding the area enclosed by the speed-time curve.
Gives a pictorial indication of how far and object has moved?
A distance-time graph can provide a pictorial indication of how far an object has moved. The slope of the graph represents the object's speed, where a steeper slope indicates faster motion. The area under the curve on the graph represents the total distance traveled by the object.
Calculate distance from a velocity time graph?
To calculate distance from a velocity-time graph, you would find the area under the curve, as this represents the displacement or distance traveled. If the graph is above the time axis, calculate the area above the time axis, and if it dips below, calculate the area below the time axis. Summing these two areas will give you the total distance traveled.
