A particle moves a distance \(x\) in time \(t\) according to equation \(x = (t+5)^{-1}\). The acceleration of the particle is proportional to:
1. | \((\text{velocity})^{\frac{3}{2}}\) | 2. | \((\text{distance})^2\) |
3. | \((\text{distance})^{-2}\) | 4. | \((\text{velocity})^{\frac{2}{3}}\) |
The position x of a particle moving along the x-axis varies with time t as x = , where x is in meters and t is in seconds. The particle reverses its direction of motion at:
1. x = 40 m
2. x = 10 m
3. x = 20 m
4. x = 30 m
Two cars A and B are travelling in the same direction with velocities v1 and v2 . 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.
2.
3.
4.
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 particle moves along a path \(ABCD\) as shown in the figure. The magnitude of the displacement of the particle from \(A\) to \(D\) is:
1. m
2. \(10\) m
3. m
4. \(15\) m
A body starting from rest moves with uniform acceleration on a horizontal surface. The body covers 3 consecutive equal distances from the beginning in time seconds. The ratio of is:
1. 1: 2 : 3
2.
3.
4.
The position (x) of a particle in a straight line motion is given by . Its velocity (v) is best represented by?
1. | 2. | ||
3. | 4. |
An elevator whose floor to ceiling height is 12 meters, moves upward with an acceleration of . After 1.5 seconds since starting, a bolt falls from its ceiling. The time taken by the bolt to reach the floor is
1. 1 s
2. 2 s
3. s
4. s
The displacement \((x)\) of a point moving in a straight line is given by; \(x=8t^2-4t.\) Then the velocity of the particle is zero at:
1. | \(0.4\) s | 2. | \(0.25\) s |
3. | \(0.5\) s | 4. | \(0.3\) s |
The velocity \(v\) of an object varies with its position \(x\) on a straight line as \(v=3\sqrt{x}.\) Its acceleration versus time \((a\text-t)\) graph is best represented by:
1. | 2. | ||
3. | 4. |