Advertisements
Advertisements
प्रश्न
Obtain a relation for the distance travelled by an object moving with uniform acceleration in the interval between 4th and 5th seconds.
उत्तर
Let the object be moving with initial velocity u ms−1 and uniform acceleration an ms−2
∴ The distance travelled by the moving object
in ts is, s = `"ut" + 1/2 "at"^2`
Now distance travelled in 4s,
s4 = `"u" xx 4 + 1/2 "a" xx 4^2`
= 4u + 8a
Distance travelled in 5s
s5 = `"u" xx 5 + 1/2 "a" xx 5^2`
= `5"u" + 25/2 "a"`
∴ Distance travelled in the interval between 4th and 5th second
= `(5"u" + 25/2 "a") - (4"u" + 8"a")`
= `("u" + 9/2"a")"m"`
APPEARS IN
संबंधित प्रश्न
Figure (a) shows the velocity-time graph for the motion of a body. Use it to find the displacement of the body at t = 1 s, 2 s, 3 s and 4 s, then draw on Figure (b), the displacement-time graph for it.
 |
 |
| (a) | (b) |
Write two differences between distance and displacement.
A body is moving along a circular path of radius r. What will be the distance and displacement of the body when it completes:
Full revolution
Ashok starts from his house and travels 3 km to reach his school. On finding the school gates closed, he returns to his house. What is?
The displacement of Ashok
The table below shows the distance travelled by two vehicles A and B during each second:
| Time (s) | 0 | 1 | 2 | 3 | 4 | 5 | 6 | 7 |
| Distance travelled by A (m) | 0 | 20 | 80 | 180 | 240 | 300 | 360 | 420 |
| Distance travelled by B (m) | 0 | 10 | 40 | 90 | 160 | 250 | 360 | 490 |
Give the value of the velocity at which they are meeting
Match the following.
| 1. | Displacement | Knot |
| 2. | Light travelling through vacuum | Geometric centre |
| 3. | Speed of ship | Metre |
| 4. | Centre of gravity of geometrical shaped objects | Larger base area |
| 5. | Stability | Uniform velocity |
Four cars A, B, C, and D are moving on a levelled road. Their distance versus time graphs are shown in Fig. 8.2. Choose the correct statement.
The displacement is zero when the initial and final positions are ______.
The rate of change of displacement ______.
A man leaves his house at 6.30 a.m. for a morning walk and returns back at 7.30 a.m. after covering 4 km. The Displacement covered by him is ______.
