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
During the downward motion of an oblique projectile from the top point of its trajectory, the radius of curvature of its trajectory will:
(1) Remain constant
(2) Increase
(3) Decrease
(4) May increase or decrease
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
A particle of mass m is thrown at t=0 with kinetic energy at an angle 30° with the horizontal from the top of a tower of height 80 m. The particle again has kinetic energy after time . The is equal to:
(1)
(2)
(3)
(4)
1. | parallel to the position vector. |
2. | at \(60^{\circ}\) with position vector. |
3. | parallel to the acceleration vector. |
4. | perpendicular to the position vector. |
Which of the following angles of projections will provide a maximum range to a projectile when projected with the same speed in all cases?
(1) 37°
(2) 54°
(3) 42°
(4) 49°
If a body is projected from the surface of the earth for maximum range R, then the maximum height attained by the body is:
(1) R
(2)
(3) 4R
(4)