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. | \(v_0 \cos \frac{\theta}{2}\) |
An open trolley is moving on a horizontal road with constant velocity \(v_1\). A man on the trolley throws a ball vertically upward (with respect to trolley) with velocity \(v_2\). Select the correct statement.
1. | Time of flight of the ball to a man on the ground and the man on the trolley will be different. |
2. | Maximum height attained by the ball for both men will be different. |
3. | Horizontal range of the ball for both men will be different. |
4. | Horizontal range of the ball for both men will be the same. |
Two stones are thrown simultaneously from the top of a building horizontally but in opposite directions, they will be moving perpendicular to each other say after time t, then t is equal to ___________. The initial speeds of stones are respectively and acceleration due to gravity is g.
1.
2.
3.
4.
Two projectiles projected with the same speed at angles and (90° - ) from the same point, then is equal to: (where symbols have their usual meanings)
1.
2.
3.
4.
A projectile is projected from the ground with speed 20 m/s at an angle 30° with vertical. The radius of curvature of the path of a projectile, when velocity makes 30° with horizontal is (g = 10 m/)
(1) 8.5 m
(2) 15.4 m
(3) 26.2 m
(4) 32.6 m