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प्रश्न
If the displacement of an object is proportional to the square of time, then the object is moving with :
पर्याय
uniform velocity
uniform acceleration
increasing acceleration
decreasing acceleration
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
Is displacement a scalar quantity ?
An ant travels a distance of 8 cm from P to Q and then moves a distance of 6 cm at right angles to PQ. Find its resultant displacement.
State how the velocity-time graph can be used to find The displacement of the body in a given time.
Figure shows the displacement-time graph of two vehicles A and B moving along a straight road. Which vehicle is moving faster? Give reason.
Figure ahead represents the displacement - time sketch of motion of two cars A and B . Find :
(i) the distance by which the car B was initially ahead of car A.
(ii) the velocities of car A and car B.
(iii) the time in which car A catches car B.
(iv) the distance from start when the car A will catch the car B.
A ball moves on a smooth floor in a straight line with uniform velocity 10 m s-1 for 6 s. At t = 6 s, the ball hits a wall and comes back along the same line to the starting point with the same speed. Draw the velocity-time graph and use it to find the total distance travelled by the ball and its 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.
A particle moves along a circular path. How many times does it change its direction in two complete rounds?
Assertion: Displacement of a body may be zero when distance travelled by it is not zero.
Reason: The displacement is the shortest distance between initial and final position.
Write a note on the following:
Nautical mile
