The displacement time graph of a moving particle is shown in the figure below. The instantaneous velocity of the particle is negative at the point:
1. | D | 2. | F |
3. | C | 4. | E |
A ball is thrown vertically upwards. Then the velocity-time (v-t) graph will be:
1. | 2. | ||
3. | 4. |
In the following displacement \((x)\) versus time \((t)\) graph, at which points P, Q, and R will the object's speed be increasing?
1. R only
2. P only
3. Q and R only
4. P, Q, R
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
For the following acceleration versus time graph, the corresponding velocity versus displacement graph is:
1. | 2. | ||
3. | 4. |
A stone falls freely from rest from a height h and it travels a distance of in the last second. The value of h is:
1. | 145 m | 2. | 100 m |
3. | 122.5 m | 4. | 200 ms |
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. |
Assertion (A): | Displacement of a body may be zero when distance travelled by it is not zero. |
Reason (R): | The displacement is the longest distance between initial and final position. |
1. | Both (A) and (R) are true and (R) is the correct explanation of (A). |
2. | Both (A) and (R) are true but (R) is not the correct explanation of (A). |
3. | (A) is true but (R) is false. |
4. | Both (A) and (R) are false. |
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. | (velocity)3/2 | 2. | (distance)2 |
3. | (distance)-2 | 4. | (velocity)2/3 |