A body starting from rest moves with uniform acceleration on a horizontal surface. The body covers \(3\) consecutive equal distances from the beginning in time \(t_1, t_2,\text{and}~t_3\) seconds. The ratio of \(t_1:t_2:t_3\) is:
1. \(1:2:3\)
2. \(1:\sqrt{2}:\sqrt{3}\)
3. \(1:\left(\sqrt{2}-1\right):\left(\sqrt{3}-\sqrt{2}\right)\)
4. \(\sqrt{3}:\sqrt{2}:1\)
A man starts from point \(P\) and goes \(20\) m due East, then \(5\) m due North, then \(35\) m due West, and finally \(25\) m due South. His displacement from point \(P\) is:
1. | \(25\) m at \(\tan^{-1}\left(\frac{4}{3}\right)\) west of south. |
2. | \(85\) m in south-west. |
3. | \(25\) m at \(\tan^{-1}\left(\frac{3}{4}\right)\) west of south. |
4. | \(15\) m at \(\tan^{-1}\left(\frac{3}{4}\right)\) west of south |
An aircraft is flying horizontally at a height of 1 km from the ground with a speed of 200 m/s. An anti-craft missile launcher kept at a point on the ground which is in the vertical plane of the motion of aircraft. The muzzle velocity of the missile is 600 m/s. The missile is fired at a time when the aircraft was vertically above the anti-craft missile launcher. At what angle with horizontal should it be fired so as to hit the aircraft?
(1)
(2)
(3)
(4) Just vertically upward
A man can throw a stone to a maximum height 'h'. The greatest horizontal distance up to which he can throw the stone is
(1) h
(2) 2h
(3)
(4) 4h
An oblique projectile is projected with a speed u. It takes time t, to reach the maximum height and time t, to come back to the ground. Air resistance is not neglected, then is
(1) > 1
(2) < 1
(3) = 1
(4) Depends on the angle of projection
The speed of a projectile projected from level ground at its maximum height is found to be half of its speed of projection (u). Its maximum height is:
1.
2.
3.
4.
A body moved along x-axis and y-axis according to the equation,
What is the trajectory followed by the body?
1.
2.
3.
4.
A particle of mass \(m\) is projected with a velocity at an angle with the horizontal into a uniform gravitational field. The slope of the trajectory varies with horizontal distance \(x\) as:
1. | 2. | ||
3. | 4. |
A projectile thrown at an angle 30° with horizontal from the level ground reaches a maximum height of 20 m. What will be the maximum height if it is thrown at an angle 60° with the same speed?
(1) 20 m
(2) 30 m
(3) 50 m
(4) 60 m
A body moving in a uniform circular motion with speed v. The magnitude of the change in its velocity after it rotates by an angle 120° is:
1. \(2v\)
2. \(\sqrt{3}v\)
3. \(v\)
4. \(\frac{\sqrt{3}}{2}v\)