Q. No.A person standing near the edge of the top of a building throws two balls \(A\) and \(B.\) The ball \(A\) is thrown vertically upward and \(B\) is thrown vertically downward with the same speed. The ball \(A\) hits the ground with a speed \(v_A\) and the ball \(B\) hits the ground with a speed \(v_B.\) We have:
1.
\(v_A>v_B\)
2.
\(v_A<v_B\)
3.
\(v_A=v_B\)
4.
the relation between \(v_A\) and \(v_B\) depends on height of the building above the ground
Mark the correct statements for a particle going on a straight line:
| (a) | if the velocity and acceleration have opposite sign, the object is slowing down. |
| (b) | if the position and velocity have opposite sign, the particle is moving towards the origin. |
| (c) | if the velocity is zero at an instant, the acceleration should also be zero at that instant. |
| (d) | if the velocity is zero for a time interval, the acceleration is zero at any instant within the time interval. |
Choose the correct option:
| 1. | (a), (b) and (c) | 2. | (a), (b) and (d) |
| 3. | (b), (c) and (d) | 4. | all of these |
Which of the following position-time \((x\text-t)\) graphs may be possible corresponding to given velocity-time \((v\text-t)\) graph?
| 1. |  |
2. |  |
| 3. |  |
4. |  |
A stone is released from an elevator going up with an acceleration \(a.\) The acceleration of the stone after the release is:
1. \(a\) upward
2. \((g-a)\) upward
3. \((g-a)\) downward
4. \(g\) downward
A Cheetah can accelerate from \(0\) to \(96\) km/h in \(2\) s. What is the average acceleration of the Cheetah?
1. \(10\) m/s2
2. \(13.3\) m/s2
3. \(15\) m/s2
4. \(48\) m/s2
The \(x\)-coordinate of a particle moving along the \(x\)-axis at any instant is described by the equation:
\(x = (2-5t+6t^2),\) where \(x\) is in metres and \(t\) is in seconds.
What is the initial velocity of the particle?
| 1. | \(2\) m/s | 2. | \(-5\) m/s |
| 3. | \(3\) m/s | 4. | \(12\) m/s |
1. statics
2. kinematics
3. mechanics
4. dynamics
(take \(g=10~\text{m/s}^2\) )
1. \(40~\text m\)
2. \(20~\text m\)
3. \(80~\text m\)
4. \(120~\text m\)
| 1. | \(10\) m/s | 2. | \(19.6\) m/s |
| 3. | \(29.2\) m/s | 4. | \(9.8\) m/s |
1. \(\dfrac{5}{3}\) m/s
2. \(\dfrac{4}{3}\) m/s
3. \(2\) m/s
4. \(3\) m/s
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