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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 body is moving along a circular path of radius R. What will be the distance travelled and displacement of the body when it completes half a revolution ?
Differentiate between distance and displacement.
What information about the motion of a body are obtained from the displacement-time graph?
Can displacement-time sketch be parallel to the displacement axis? Give a reason to your answer.
State how the velocity-time graph can be used to find The displacement of the body in a given time.
Draw displacement – time graph for the following situation:
When a body is moving with uniform velocity.
A 50 m long train passes over a bridge at a speed of 30 km/h. If it takes 36 seconds to cross the bridge, calculate the length of the bridge.
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
Displacement / Time : Velocity :: Speed / Time : ______.
Displacement magnitude can be greater than the distance traveled by the object.
