A particle has an initial velocity (\(2\mathrm{i}+3\mathrm{j}\)) and an acceleration (\(0.3\mathrm{i}+0.2\mathrm{j}\)). The magnitude of velocity after 10 s will be:
1. \(9 \sqrt{2} ~\text{units} \)
2. \(5 \sqrt{2} ~\text{units} \)
3. \(5 ~\text{units} \)
4. \(9~\text{units} \)
A particle has an initial velocity m/s and it is moving with an acceleration . Velocity of the particle at \(t=2\) s will be:
1.
2.
3.
4.
A body started moving with an initial velocity of \(4\) m/s along the east and an acceleration \(1\) m/s2 along the north. The velocity of the body just after \(4\) s will be?
1. | \(8\) m/s along East |
2. | \(4 \sqrt{2} \) m/s along North-East |
3. | \(8\) m/s along North |
4. | \(4 \sqrt{2} \) m/s along South-East |
A body sliding on a smooth inclined plane requires 4 seconds to reach the bottom starting from the rest at the top. How much time does it take to cover one-fourth distance starting from the rest at the top?
1. | 1 s | 2. | 2 s |
3. | 4 s | 4. | 16 s |
The time taken by a block of wood (initially at rest) to slide down a smooth inclined plane 9.8 m long (angle of inclination is ) is:
1. | \(\frac{1}{2} \mathrm{sec} \) | 2. | \(2 ~\mathrm{sec} \) |
3. | \(4~ \mathrm{sec} \) | 4. | \(1~ \mathrm{sec} \) |
A particle starts from the origin at t = 0 sec with a velocity of and moves in the x-y plane with a constant acceleration of \((8.0\hat i +2.0 \hat j)\) \(\text{ms}^{-2}\). At what time is the x- coordinate of the particle 16 m?
1. | 2 s
|
2. | 3 s
|
3. | 4 s
|
4. | 1 s |
A particle starts from the origin at t = 0 with a velocity of 5.0î m/s and moves in the x-y plane under the action of a force that produces a constant acceleration of (3.0î +2.0 ĵ ) . What is the speed of the particle at the instant its x-coordinate is 84 m?
1. | 36 m/s | 2. | 26 m/s |
3. | 1 m/s | 4. | 0 m/s |
A particle starts moving with constant acceleration with initial velocity (\(\hat{\mathrm{i}}+5\hat{\mathrm{j}}\)) m/s. After \(4\) seconds, its velocity becomes (\(3\hat{\mathrm{i}}-2\hat{\mathrm{j}}\)) m/s. The magnitude of its displacement in 4 seconds is:
1. \(5\) m
2. \(10\) m
3. \(15\) m
4. \(20\) m
A body is slipping from an inclined plane of height h and length l. If the angle of inclination is θ, the time taken by the body to come from the top to the bottom of this inclined plane is:
1.
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.
2.
3.
4.