Read the velocity Time graph of an object of mass m = 50 g is shown in...
The graph provided shows the velocity-time relationship for an object with a mass of 50 g. To calculate the distance traveled between the 3rd and 6th second, we need to analyze the graph and apply the appropriate formulas.
Velocity-Time Graph Analysis:
The graph consists of a straight line segment from the 0th to the 4th second and then a curved line segment from the 4th to the 10th second. Here, we will focus on the straight line segment.
Calculating Distance Traveled:
To calculate the distance traveled between the 3rd and 6th second, we need to find the area under the velocity-time graph within this time interval. Since the velocity-time graph represents the rate of change of velocity, the area under the graph represents the displacement or distance traveled.
Step 1: Identify the relevant portion of the graph
- The 3rd second is located at t=3s and the 6th second is located at t=6s.
- On the graph, we can see that the straight line segment extends from the 0th to the 4th second. Therefore, we need to consider the portion of the graph from t=3s to t=4s.
Step 2: Calculate the area under the graph
- The area of a rectangle is given by the formula A = length x width.
- In this case, the length of the rectangle is the time interval, which is 4s - 3s = 1s.
- The width of the rectangle is the velocity at that time, which we can read from the graph. Let's assume it is v m/s.
Step 3: Calculate the distance traveled
- The distance traveled is equal to the area under the graph, which is A = length x width.
- Distance = 1s x v m/s.
Final Answer:
The distance traveled between the 3rd and 6th second is equal to 1s x v m/s.
Please note that without the specific values of the velocity on the graph, we cannot provide the exact distance traveled. However, by following the above steps, you can apply the specific values from the graph to calculate the distance accurately.
Read the velocity Time graph of an object of mass m = 50 g is shown in...
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