- 1(current)
Q. No.An athlete runs along a straight track. She begins from rest and accelerates uniformly for \(2~\text{s},\) reaching a speed of \(9~\text{m/s}.\) She then runs at this constant speed for a certain duration before decelerating uniformly to rest. The total time from start to finish is \(12~\text s.\) If her acceleration during the first phase is exactly twice the magnitude of her deceleration during the last phase, what is the total distance she covers during the entire motion?
1. \(81~\text{m}\)
2. \(108~\text{m}\)
3. \(90~\text{m}\)
4. \(72~\text{m}\)
1. \(81~\text{m}\)
2. \(108~\text{m}\)
3. \(90~\text{m}\)
4. \(72~\text{m}\)
Subtopic: Distance & Displacement |
59%
Level 3: 35%-60%
Please attempt this question first.
Hints
Please attempt this question first.
Given below are two statements:
| Statement I: | If the displacement of a particle varies quadratically as the time elapsed, the particle moves with a constant acceleration. |
| Statement II: | The distance travelled by a particle is always greater than or equal to the magnitude of the displacement. |
| 1. | Statement I is incorrect and Statement II is correct. |
| 2. | Both Statement I and Statement II are correct. |
| 3. | Both Statement I and Statement II are incorrect. |
| 4. | Statement I is correct and Statement II is incorrect. |
Subtopic: Distance & Displacement |
57%
Level 3: 35%-60%
Hints
Consider a chessboard, as shown in the figure, where the width of each square is \(2~\text{cm}.\) Assume that all pieces are kept at the centres of the squares, before and after a move. Also, assume that each single move takes \(2~\text{s}\) – irrespective of however many squares (distance) are taken.
What is the maximum possible displacement of a rook \(\Large(♖)\) in a single move?
Note: A rook can move any number of squares along only \(x\) or only \(y\) (positive or negative) direction.
What is the maximum possible displacement of a rook \(\Large(♖)\) in a single move?
Note: A rook can move any number of squares along only \(x\) or only \(y\) (positive or negative) direction.
| 1. | \(14~\text{cm}\) | 2. | \(16~\text{cm}\) |
| 3. | \(18~\text{cm}\) | 4. | \(16\sqrt2~\text{cm}\) |
Subtopic: Distance & Displacement |
Level 3: 35%-60%
Hints
- 1(current)
Q. No.
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