Physics
A body is moving in a straight line and its displacement at various instants of time is given in the following table —
| Time (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
|---|---|---|---|---|---|---|---|---|
| Displacement (m) | 2 | 6 | 12 | 12 | 12 | 18 | 22 | 24 |
Plot displacement-time graph and calculate —
(i) Total distance travelled in interval 1 s to 5 s,
(ii) Average velocity in time interval 1 s to 5 s.
Motion in One Dimension
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Answer
The displacement-time graph is given below:
(i) When we observe the graph, we find —
Total distance travelled in interval 1 s to 5 s = 18 m - 6 m = 12 m
Hence, total distance travelled in interval 1 s to 5 s = 12 m
(ii) As we know,
Hence, average velocity of the car in interval 1 s to 5 s is 3 ms-1.
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Related Questions
Figure shows the displacement of a body at different times.
(a) Calculate the velocity of the body as it moves for time interval
(i) 0 to 5 s,
(ii) 5 s to 7 s and
(iii) 7 s to 9 s.
(b) Calculate the average velocity during the time interval 5 s to 9 s.
[ Hint — From 5 s to 9 s, displacement = 7 m - 3 m = 4 m ]
From the displacement-time graph of a cyclist, given in figure, find —
(i) The average velocity in the first 4 s,
(ii) The displacement from the initial position at the end of 10 s
(iii) The time after which he reaches the starting point.
Following table gives the displacement of a car at different instants of time.
Time (s) 0 1 2 3 4 Displacement (m) 0 5 10 15 20 (a) Draw the displacement-time sketch and find the average velocity of car.
(b) What will be the displacement of car at (i) 2.5 s and (ii) 4.5 s ?
Figure (a) shows the displacement-time graph for the motion of a body. Use it to calculate the velocity of body at t = 1 s, 2 s and 3 s, then draw the velocity-time graph for it in Figure (b).
