Plz help me plot on graph and also the solution.
Q. When velocity is 20 m/s time is 0 and velocity 20 m/s time is 5 sec, velocity 10 m/sec time 7 sec, velocity 20 m/sec time 10 sec and velocity 0 time 15 sec. Calculate total distance showing each step and avg velocity.
Thank you.
Easy. Graph the points. Now, find the total area under the graph. That area is distance.
avg velocity= distance/time
Is bobpursley correct?
Yes.
Hi bob you are correct but i am not able to find all the area. Can you plz plot me the graph and also the area. Thank you.
To plot the given data on a graph, we can use a velocity-time graph. The x-axis represents time (in seconds) and the y-axis represents velocity (in meters per second). Each point on the graph will correspond to the time and velocity values given in the question.
Let's organize the given data:
- At time t = 0, the velocity is 20 m/s.
- At time t = 5 s, the velocity is also 20 m/s.
- At time t = 7 s, the velocity is 10 m/s.
- At time t = 10 s, the velocity is 20 m/s.
- At time t = 15 s, the velocity is 0 m/s.
Now, we can plot these points on the graph:
- At (0, 20), we place a point.
- At (5, 20), we place another point.
- At (7, 10), we place another point.
- At (10, 20), we place another point.
- At (15, 0), we place the last point.
Connecting these points with a smooth curve will give us the velocity-time graph.
To calculate the total distance traveled, we can break down the motion into individual sections. The total distance traveled will be the sum of the distances covered during each section.
Section 1: 0 sec to 5 sec (Constant velocity of 20 m/s)
Distance covered = velocity × time = 20 m/s × 5 s = 100 m
Section 2: 5 sec to 7 sec (Change in velocity from 20 m/s to 10 m/s)
Distance covered = average velocity × time = (20 m/s + 10 m/s) / 2 × (7 s - 5 s) = 30 m
Section 3: 7 sec to 10 sec (Constant velocity of 10 m/s)
Distance covered = velocity × time = 10 m/s × (10 s - 7 s) = 30 m
Section 4: 10 sec to 15 sec (Change in velocity from 20 m/s to 0 m/s)
Distance covered = average velocity × time = (20 m/s + 0 m/s) / 2 × (15 s - 10 s) = 50 m
Total distance traveled = 100 m + 30 m + 30 m + 50 m = 210 m
To calculate the average velocity, we use the formula:
Average velocity = total distance / total time
The total time can be calculated by considering the time elapsed from the first point to the last point:
Total time = 15 s - 0 s = 15 s
Average velocity = 210 m / 15 s = 14 m/s
Therefore, the total distance traveled is 210 meters, and the average velocity is 14 meters per second.