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 |
When a man walks on a horizontal road with velocity \(1\) km/h, the rain appears to him coming vertically at a speed of \(2\) km/h. The actual speed of the rain with respect to ground is:
1. \(\sqrt{3}\) km/h
2. \(\sqrt{5}\) km/h
3. \(1\) km/h
4. \(3\) km/h
Path of a projectile as seen from another projectile :
(1) Straight
(2) Circular
(3) Hyperbolic
(4) Parabolic
At an instant, the velocity and acceleration of a particle moving in the XY plane are m/s and . Rate of change of speed of the particle at this instant is:
(1)
(2) -1
(3) 1
(4) Zero
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. |
The radius vector of a particle moving on a circle is given by (A and B are constants). The radius of the circle and speed of the particle, respectively, are
1. A, AB
2.
3. B, AB
4.
For a particle projected on a horizontal surface, the ratio of range to maximum height is:
( is the angle of projection with respect to horizontal):
(1) 4cot
(2) 4tan
(3) 0.25cot
(4) 0.25sin
Two projectiles, one fired from the surface of the earth with speed 5 m/s and the other fired from the surface of a planet with initial speed 3 m/s with the same angle of the projection, trace identical trajectories. Neglecting friction effect, the value of acceleration due to gravity on the planet is:
(1) 5.9
(2) 3.6
(3) 16.3
(4) 8.5
A projectile is projected from origin of a co-ordinate system with initial velocity of m/s considering y-axis along vertical. The equation of its trajectory is (take g = 10 )
(1) 6y = 4x - 5
(2) 5y = 6x - 4
(3) 4y = 6x - 5
(4) 6y = 5x - 4