The displacement x of a particle moving in one dimension under the action of a constant force is related to time t by the equation , where x is in metres and t is in seconds. What is the displacement of the particle from t = 0 s to t = 6 s?
1. 0
2. 12 m
3. 6 m
4. 18 m
Given below are two statements:
Assertion (A): | Position-time graph of a stationary object is a straight line parallel to the time axis. |
Reason (R): | For a stationary object, the position does not change with time. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
Read the assertion and reason carefully to mark the correct option out of the options given below:
(1) If both assertion and reason are true and the reason is the correct explanation of the assertion.
(2) If both assertion and reason are true but reason is not the correct explanation of the assertion.
(3) If assertion is true but reason is false.
(4) If the assertion and reason both are false.
Assertion : Displacement of a body may be zero when distance travelled by it is not zero.
Reason : The displacement is the longest distance between initial and final position.
If the velocity of a particle is , where A and B are constants, then the distance travelled by it between 1s and 2s is?
A particle moves along a path \(ABCD\) as shown in the figure. The magnitude of the displacement of the particle from \(A\) to \(D\) is:
1. m
2. \(10\) m
3. m
4. \(15\) m
A particle is moving with a velocity of . The displacement of the particle in the interval t=0 sec to t=5 sec is:
1. 75 cm
2. 20 cm
3. 50 cm
4. 90 cm
Which one is not an example of a point object?
1. | A railway carriage moving without jerks between two stations. |
2. | A monkey sitting on top of a man cycling smoothly on a circular track. |
3. | A plane under a journey of several thousand kilometres. |
4. | A tumbling beaker that has slipped off the edge of a table. |
A drunkard walking in a narrow lane takes \(5\) steps forward and \(3\) steps backward, followed again by \(5\) steps forward and \(3\) steps backward, and so on. Each step is \(1\) m long and requires \(1\) s. There is a pit on the road \(13\) m away from the starting point. The drunkard will fall into the pit after:
1. \(37\) s
2. \(31\) s
3. \(29\) s
4. \(33\) s
A car moves with a speed of \(60\) km/h for \(1\) hour in the east direction and with the same speed for \(30\) min in the south direction. The displacement of the car from the initial position is:
1. \(60\) km
2. \(30 \sqrt{2}\) km
3. \(30 \sqrt{5}\) km
4. \(60 \sqrt{2}\) km