Two inclined planes are placed as shown in the figure. A block is projected from the point \(A\) of the inclined plane \(AB\) along its surface with a velocity just sufficient to carry it to the top point \(B\) at a height of \(10~\text m.\) After reaching the point \(B\) the block slides down on the inclined plane \(BC.\) The time it takes to reach the point \(C\) from the point \(A\) is \(t( \sqrt 2 + 1 )~\text{s}.\) The value of \(t\) is:
(take \(g=10~\text{m/s}^2\))
           
1. \(1\)
2. \(2\)
3. \(3\)
4. \(4\)
Subtopic:  Uniformly Accelerated Motion |
 65%
Level 2: 60%+
Hints

A particle moves in the \(xy \text-\)plane with coordinates varying with time as:
        \(x=2+4 t ~;~~ y=3 t+8 t^2\)     (\(t\) in seconds).
Which of the following best describes the motion of the particle?

1. uniform motion
2. uniformly accelerated motion along a straight line
3. non-uniformly accelerated motion
4. uniformly accelerated motion along a parabolic path
Subtopic:  Uniformly Accelerated Motion |
Level 4: Below 35%
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Hints
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