1. | is constant in magnitude only. |
2. | is constant in direction. |
3. | is constant in magnitude and direction. |
4. | varies, both, in magnitude and direction. |
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(A) | \(A\) = distance travelled by \(B\) | distance travelled by
(B) | \(A\) = \(\dfrac12\) acceleration time of \(B\) | acceleration time of
(C) | \(A\) with respect to \(B\) is always positive | relative velocity of
(D) | \(A\) = \(2×\) deceleration time of \(B\) | deceleration time of
1. | (A) is True. |
2. | (A), (B) are True. |
3. | (A), (B), (C) are True. |
4. | (B), (C), (D) are True. |
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1. | \(1~\text{m/s}\) along the positive \(x\)-axis |
2. | \(1~\text{m/s}\) along the negative \(x\)-axis |
3. | \(\dfrac{1}{\sqrt2} ~\text{m/s}\) along the positive \(x\)-axis |
4. | \(\dfrac{1}{\sqrt2}~\text{m/s}\) along the negative \(x\)-axis |
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A man driving a scooter at \(15~\text{m/s}\) brakes at the rate of \(2~\text{m/s}^2\). His speed, after \(10~\text{s}\) after the application of brakes will be:
1. \(5~\text{m/s}\)
2. \(-5~\text{m/s}\)
3. \(0~\text{m/s}\)
4. \(10~\text{m/s}\)
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1. | \(10~\text{m}\) | 2. | \(15~\text{m}\) |
3. | \(20~\text{m}\) | 4. | \(25~\text{m}\) |
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A boy throws a ball straight up the side of a building and receives it after \(4\) s. On the other hand, if he throws it so that it strikes a ledge on its way up, it returns to him after \(3\) s. The ledge is at a distance \(d\) below the highest point, where \(d=?\) (take acceleration due to gravity, \(g=10\) m/s2)
1. \(5\) m
2. \(2.5\) m
3. \(1.25\) m
4. \(10\) m
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1. | \(1\) m/s |
2. | \(2\) m/s |
3. | \(1\) m/s | less than
4. | \(2\) m/s | greater than
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Column I | Column II | ||
\(\mathrm{(A)}\) | \(a_{\Large_A}=a_{\Large_B}\neq 0\) | \(\mathrm{(I)}\) | ![]() |
\(\mathrm{(B)}\) | \(a_{\Large_A}>a_{\Large_B},u_{\Large_A}<u_{\Large_B}\) | \(\mathrm{(II)}\) | ![]() |
\(\mathrm{(C)}\) | \(a_{\Large_A}<a_{\Large_B},u_{\Large_A}=u_{\Large_B}\) | \(\mathrm{(III)}\) | ![]() |
\(\mathrm{(D)}\) | \(a_{\Large_A}<a_{\Large_B},u_{\Large_A}<u_{\Large_B}\) | \(\mathrm{(IV)}\) | ![]() |
1. | \(\mathrm{A\text-II,B\text-I,C\text-IV,D\text-III}\) | 2. | \(\mathrm{A\text-III,B\text-IV,C\text-II,D\text-I}\) |
3. | \(\mathrm{A\text-II,B\text-IV,C\text-III,D\text-I}\) | 4. | \(\mathrm{A\text-III,B\text-I,C\text-II,D\text-IV}\) |
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