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प्रश्न
If the displacement of an object is proportional to the square of time, then the object is moving with :
विकल्प
uniform velocity
uniform acceleration
increasing acceleration
decreasing acceleration
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उत्तर
uniform acceleration
We are given with the relationship that,
x = kt2
Differentiating it twice we get,
v = 2kt
a = 2k
Where,
v - velocity
a - acceleration
So, the answer is
(b) Uniform acceleration
संबंधित प्रश्न
A particle is moving in a circular path of radius r. The displacement after half a circle would be :
What can you say about the nature of motion of a body if its displacement-time graph is A straight line inclined to the time axis with an obtuse angle?
Define Displacement.
From the displacement – time graph shown given below calculate :
- Velocity between 0 – 2 s.
- Velocity between 8 s – 12 s.
- Average velocity between 5 s – 12 s.
Calculate the distance and displacement in the following case:
Give the name of the physical quantity that corresponds to the rate of change of displacement.
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 |
At what time do A and B meet?Which vehicle is moving with a constant acceleration?
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
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 ahead at the end of 7th second and by how much?
Choose the correct option.
