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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
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?
Give an example of a body which covers a certain distance, but its displacement is zero.
Name the physical quantity associated with the rate of change of displacement with time.
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?
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
A particle is moving in a circular path of radius r. The displacement after half a circle would be
______ is the length of the actual path covered by a body.
The rate of change of displacement ______.
A body is projected up with an initial velocity of u m/s. It goes up to a height, ‘h’ meters in seconds' time. Then it comes back at the point of projection.
Considering negligible air resistance, which of the following statement is true?
Choose the correct option.
