The speed -time graph of a particle moving along a fixed direction is shown below.obtain the distance travelled by the particle between t=0 and t=10 s.what is the average speed of the particle over this interval?
You provided no speed-time graph "below".
Integrate the area under the speed-time graph between t = 0 and 10. That will be the distance travelled.
Divide that by 10 seconds for tha average speed.
To obtain the distance traveled by the particle between t = 0 and t = 10 s, you need to find the area enclosed by the speed-time graph within that time interval. Since the speed-time graph represents the velocity of the particle at different times, the area under the graph would represent the distance traveled.
To calculate the area under the graph, you can split it into different shapes and then find the combined area. In this case, it seems that the graph consists of two sections: a triangle and a rectangle.
1. Triangle: Calculate the area of the triangle by multiplying the base (time interval) by the height (speed at t = 10 s).
Area = (1/2) * base * height
In this case, the base is 10 s, and the height can be found from the graph at t = 10 s.
2. Rectangle: Calculate the area of the rectangle by multiplying the length (time interval) by the width (speed for the time interval).
Area = length * width
In this case, the length is the time interval between 0 s and 10 s, and the width can be found from the graph.
Once you have computed the areas of both the triangle and the rectangle, add them together to obtain the total distance traveled by the particle between t = 0 and t = 10 s.
To find the average speed of the particle over this interval, you can divide the total distance traveled by the time interval.
Average Speed = Total Distance / Time Interval