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.
Advertisements
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
Which of the following is true for displacement?
- It cannot be zero.
- Its magnitude is greater than the distance travelled by the object.
Is displacement a scalar quantity ?
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) |
Figure given below shows a velocity-time graph for a car starting from rest. The graph has three parts AB, BC and CD.
Compare the distance travelled in part BC with the distance travelled in part AB.
A body is moving along a circular path of radius r. What will be the distance and displacement of the body when it completes:
Half a revolution
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 |
Which vehicle is moving with a constant acceleration?
Give one example where the displacement is zero but the distance travelled is not zero.
Using the following data, draw time - displacement graph for a moving object:
| Time (s) | 0 | 2 | 4 | 6 | 8 | 10 | 12 | 14 | 16 |
| Displacement (m) | 0 | 2 | 4 | 4 | 4 | 6 | 4 | 2 | 0 |
Use this graph to find average velocity for the first 4 s, for the next 4 s and for the last 6 s.
Displacement can be zero but distance never.
Assertion: If the displacement of the body is zero, the distance covered by it may not be zero.
Reason: Displacement is a vector & distance is a scalar quantity.
