MOTION IN A STRAIGHT LINE - 3RD OCTOBER Contact Number: 8527521718MOTION IN A STRAIGHT LINE - 3RD OCTOBER Contact Number: 8527521718From the velocity-time graph, given in figure of a particle moving in a straight line, one can conclude that
1. Its average velocity during the 12 s interval is 27/7 .
2. Its velocity for the first 3 s is uniform and is equal to 4 .
3. The body has a constant acceleration between t= 3 s and t= 10 s
4. The body has a uniform retardation from t= 8 s to t= 12 s.
A toy car with charge q moves on a frictionless horizontal plane surface under the influence of a uniform electric field . Due to the force q, its velocity increases from 0 to 6 m/s in one-second duration. At that instant, the direction of the field is reversed. The car continues to move for two more seconds under the influence of this field. The average velocity and the average speed of the toy car between 0 to 3 seconds are respectively:-
1. 2 m/s, 4 m/s
2. 1 m/s, 3 m/s
3. 1 m/s, 3.5 m/s
4. 1.5 m/s, 3 m/s
An object is vertically thrown upwards. Then the displacement-time graph for the motion is as shown in
1.
2.
3.
4.
For the following acceleration versus time graph the corresponding velocity versus displacement graph is:
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2. |  |
| 3. |  |
4. |  |
A frictionless wire \(AB\) is fixed on a sphere of radius \(R\). A very small spherical ball slips on this wire. The time taken by this ball to slip from \(A\) to \(B\) is:
1. \(\frac{2 \sqrt{g R}}{g \cos \theta}\)
2. \(2 \sqrt{g R} . \frac{\cos \theta}{g}\)
3. \(2 \sqrt{\frac{R}{g}}\)
4. \(\frac{g R}{\sqrt{g\cos \theta}}\)
A particle is moving along the path y = from x = 0 m to x = 2 m. Then the distance traveled by the particle is:
1. 4 m
2.
3.
4.
The initial velocity of a particle is u (at t = 0) and the acceleration f is given by at. Which of the following relation is valid
1.
2.
3.
4. v = u
Which of the following four statements is false?
1. A body can have zero velocity and still be accelerated.
2. A body can have a constant velocity and still have a varying speed.
3. A body can have a constant speed and still have a varying velocity.
4. The direction of the velocity of a body can change when its acceleration is constant.
A bullet loses \(\dfrac{1}{20}\) of its velocity passing through a plank. The least number of planks required to stop the bullet is: (All planks offers same retardation)
1. \(10\)
2. \(11\)
3. \(12\)
4. \(23\)
A ball is thrown upward with a certain speed. It passes through the same point at 3 second and 7 second from the start. The maximum height achieved by the ball is:
1. 500 m
2. 250 m
3. 125 m
4. 450 m
Two cars \(A\) and \(B\) are travelling in the same direction with velocities \(v_1\) and \(v_2 (v_1>v_2)\). When the car \(A\) is at a distance \(d\) behind car \(B\), the driver of the car \(A\) applied the brake producing uniform retardation \(a\). There will be no collision when:
1. \(d< \dfrac{(v_1-v_2)^2}{2a}\)
2. \(d< \dfrac{v^2_1-v^2_2}{2a}\)
3. \(d> \dfrac{(v_1-v_2)^2}{2a}\)
4. \(d> \dfrac{v^2_1-v^2_2}{2a}\)
What determines the nature of the path followed by the particle?
1. Speed only
2. Velocity only
3. Acceleration only
4. None of these
A bus is moving with a speed of \(10~\text{ms}^{-1}\) on a straight road. A scooterist wishes to overtake the bus in \(100~\text{s}\). If the bus is at a distance of \(1~\text{km}\) from the scooterist, with what minimum speed should the scooterist chase the bus?
1. \(20~\text{ms}^{-1}\)
2. \(40~\text{ms}^{-1}\)
3. \(25~\text{ms}^{-1}\)
4. \(10~\text{ms}^{-1}\)
A stone is dropped from a height \(h\). Simultaneously, another stone is thrown up from the ground which reaches a height \(4h\). The two stones cross each other after time:
1. \(\sqrt{\frac{h}{8g}}\)
2. \(\sqrt{8g}~h\)
3. \(\sqrt{2g}~h\)
4. \(\sqrt{\frac{h}{2g}}\)
A particle covers half of its total distance with speed and the rest half distance with speed Its average speed during the complete journey is
(1)
(2)
(3)
(4)
