If a particle is moving in a circular orbit with constant speed, then:
1. | its velocity is variable. |
2. | its acceleration is variable. |
3. | its angular momentum is constant. |
4. | All of the above |
A projectile is projected with initial kinetic energy K. If it has kinetic energy 0.25K at its highest point, then the angle of projection is:
1. 30°
2. 45°
3. 60°
4. 75°
If the position of a particle varies according to the equations \(x= 3t^2\), \(y =2t\), and \(z= 4t+4\), then which of the following is incorrect?
1. | Velocities in \(y\) and \(z\) directions are constant |
2. | Acceleration in the \(x\text-\)direction is non-uniform |
3. | Acceleration in the \(x\text-\)direction is uniform |
4. | Motion is not in a straight line |
If three coordinates of a particle change according to the equations , then the magnitude of the velocity of the particle at time \(t=1\) second will be:
1. | unit | 2. | unit |
3. | \(40\) unit | 4. | unit |
In a uniform circular motion, if the speed of the particle is 2 m/s and radius of the circle is 2 m, then the values of centripetal and tangential acceleration are, respectively:
1. 2 , 2
2. 2 , 1
3. 0, 2
4. 2 , 0
The position vector of a particle as a function of time t (in seconds) is . The initial acceleration of the particle is:
1. 2
2. 3
3. 4
4. Zero
Coordinates of a particle as a function of time t are x = 2t,
y = 4t. It can be inferred that the path of the particle will be:
1. | Straight line
|
2. | Ellipse
|
3. | Parabola
|
4. | Hyperbola |
Which of the following statement/s is/are incorrect regarding the motion in a plane?
1. | a body can't move on a curved path with constant acceleration. |
2. | the angle between acceleration and velocity can be \(90^\circ.\) |
3. | the angle between acceleration and velocity can be other than \(90^\circ.\) |
4. | all of the above. |
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 particle is thrown obliquely at \(t=0\). The particle has the same K.E. at \(t=5\) seconds and at \(t=9\) seconds. The particle attains maximum altitude at:
1. \(t=6\) s
2. \(t=7\) s
3. \(t=8\) s
4. \(t=14\) s