and , then angle between vectors A and B is:
(1)
(2)
(3)
(4)
If vectors and are functions of time. Then, at what value of are they orthogonal to one another?
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Six vectors through have the magnitudes and directions indicated in the figure. Which of the following statements is true?
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and are two vectors and is the angle between them. If then the value of will be:
1. | 2. | ||
3. | 4. |
If a curve is governed by the equation y = sinx, then the area enclosed by the curve and x-axis between x = 0 and x = is (shaded region):
1. unit
2. units
3. units
4. units
The acceleration of a particle starting from rest varies with time according to relation, . The velocity of the particle at time instant is:
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The displacement of the particle is zero at and at it is . It starts moving in the -direction with a velocity that varies as , where is constant. The velocity will: (Here, )
1. | vary with time. |
2. | be independent of time. |
3. | be inversely proportional to time. |
4. | be inversely proportional to acceleration. |
The acceleration of a particle is given as .
At and . It can then be concluded that the velocity at will be: (Here, )
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The acceleration of a particle is given by at , , . The velocity and displacement at will be:
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The 9 kg block is moving to the right with a velocity of 0.6 m/s on a horizontal surface when a force F, whose time variation is shown in the graph, is applied to it at time t = 0. Calculate the velocity v of the block when t= 0.4s. The coefficient of kinetic fricton is . [This question includes concepts from Work, Energy & Power chapter]
1. 0.6 m/s
2. 1.2 m/s
3. 1.8 m/s
4. 2.4 m/s