Particles P and Q are at and . Their velocities at these positions are and respectively. If they collide after one second, then the value of c is
(1) 1
(2) 2
(3) 3
(4) 4
Two projectiles are thrown at different angles but their ranges R are the same. If their times of flight are , then the product of their times of flight is proportional to
1.
2.
3.
4. R
It is raining at \(20\) m/s in still air. Now a wind starts blowing with speed \(10\) m/s in the north direction. If a cyclist starts moving at \(10\) m/s in the south direction, then the apparent velocity of rain with respect to a cyclist will be:
1. \(20\) m/s
2. \(20\sqrt{2}\) m/s
3. \(10 \sqrt{5}\) m/s
4. \(30\) m/s
A body of mass 2 kg is projected at a speed of 20 m/s from a pillar of height 40 m at an angle of 30° with the horizontal in an upward direction. The speed with which it will hit the ground is
(1) 30 m/s
(2) 20 m/s
(3) 25 m/s
(4) 40 m/s
Path of a projectile with respect to another projectile so long as both remain in the air is:
1. Circular
2. Parabolic
3. Straight
4. Hyperbolic
A particle is thrown with velocity u making an angle with the horizontal. It just crosses the top of two poles each of height h after 1 s and 3 s respectively. The time of flight of the particle is:
(1) 4 s
(2) 2 s
(3) 8 s
(4) 6 s
A projectile is moving in the XY plane such that the horizontal and vertical directions are along the X-axis and Y-axis respectively. The projectile is fired from the origin at a large height with initial velocity () m/s. The time after which instantaneous velocity of the projectile becomes perpendicular to its initial velocity is: (g=10m/s2)
(1) 7.5 s
(2) 14.5 s
(3) 5.5 s
(4) 10.5 s
A particle is thrown from the ground with a speed u at an angle above the horizontal. The rate of change of velocity of the particle at the highest point of the path is:
1. gsin
2. gcos
3. g
4. Zero
A missile is fired for maximum range with an initial velocity of \(20\) m/s, then the maximum height of missile is: (Take \(g=10\) m/s2)
1. \(20\) m
2. \(30\) m
3. \(10\) m
4. \(40\) m
A particle is moving along a circle of radius \(R \) with constant speed \(v_0\). What is the magnitude of change in velocity when the particle goes from point \(A\) to \(B \) as shown?
1. | \( 2{v}_0 \sin \frac{\theta}{2} \) | 2. | \(v_0 \sin \frac{\theta}{2} \) |
3. | \( 2 v_0 \cos \frac{\theta}{2} \) | 4. | \(v_0 \cos \frac{\theta}{2}\) |