Assertion (A): | If two particles move with uniform accelerations in different directions, then their relative velocity changes in direction. |
Reason (R): | Since the acceleration are in different directions, there is a relative acceleration and hence the relative velocity changes. |
1. | (A) is True but (R) is False. |
2. | (A) is False but (R) is True. |
3. | Both (A) and (R) are True and (R) is the correct explanation of (A). |
4. | Both (A) and (R) are True but (R) is not the correct explanation of (A). |
A man drifting on a raft on a river observes a boat moving in the same direction at a relative speed which is \(3\) times the speed of the river's flow of \(3\) km/h. The boat overtakes him at a certain moment and reaches a point downstream after a time \(T_B\) while he reaches the same point after \(T_A=3 \) hr. Then, \(T_B= \)
1. | \(1\) hr | 2. | \(\dfrac12\)hr |
3. | \(\dfrac23\) hr | 4. | \(\dfrac34\) hr |
1. | \(v_A~\text{cos}A=v_B~\text{cos}B\) |
2. | \(v_A~\text{sin}A=v_B~\text{sin}B\) |
3. | \(\dfrac{v_A}{\text{sin}A}=\dfrac{v_B}{\text{sin}B}\) |
4. | \(v_A~\text{tan}A=v_B~\text{tan}B\) |