Projectile Motion

Unspecified year 35 questions

1. A particle moves in a plane with a constant acceleration in a direction different from the initial velocity. The path of the particle is a/an
2. If $t_{m}$ is the time taken by a projectile to achieve the maximum height, then the total time of flight $T_{f}$ related to $t_{m}$ as
3. If u is the initial velocity of a projectile and v is the velocity at any instant, then the maximum horizontal range $R_{m}$ is equal to
4. In the projectile motion, if air resistance is ignored, the horizontal motion is at
5. The time of flight of a projectile on an upward inclined plane depends upon
6. A projectile is projected with velocity of $25 m/s$ at an angle $\theta$ with the horizontal. After t seconds its inclination with horizontal becomes zero. If R represents horizontal range of the projectile, the value of $\theta$ will be: [use $g = 10 m/s^{2}$ ]
7. In a projectile motion, velocity at maximum height is
8. For angle ...X..., the projectile has maximum range and it is equal to ...X.... Here, X and Y refer to.
9. At the top of the trajectory of a projectile, the acceleration is
10. If $V_{1}$ is velocity of a body projected from the point A and $V_{2}$ is the velocity of a body projected from point B which is vertically below the highest point C. if both the bodies collide, then
11. The velocity of a projectile at the initial point A is $(2\hat{i} + 3\hat{j})m/s$ its velocity (in $m/s$ ) at point B is [add image]
12. A stone is projected horizontally with a $5 m/s$ from the top of a plane inclined at an angle $45^{\circ}$ with the horizontal. How far from the point of projection will the particle strike the plane?
13. A body is projected horizontally with velocity $3 m/s$ from a height 5 m. It's horizontal range is
14. Two balls are projected at an angle $\theta$ and $(90^{\circ} - \theta)$ to the horizontal with the same speed. The ratio of their maximum vertical heights is
15. A body is thrown with a velocity of $9.8 ms^{-1}$ making an angle of $30^{\circ}$ with the horizontal. It will hit the ground after a time
16. The velocity of projection of a body is increased by 2%. Other factors remaining unchanged, what will be the percentage change in the maximum height attained?
17. A cricket ball is hit with a velocity $25 ms^{-1}$, $60^{\circ}$ above the horizontal. How far above the ground, ball passes over a fielder 50 m from the bat (conside: the ball is struck very close to the ground)? Take $\sqrt{3} = 1.7$ and $g = 10 ms^{-2}$
18. A missile is fired for maximum range with an initial velocity of $20 m/s$. If $g = 10 m/s^{2}$, the range of the missile is
19. A projectile can have the same range R for two angles of projection. If $t_{1}$ and $t_{2}$ be the times of flight in two cases, then what is the product of two times of flight?
20. A particle of mass m is projected with a velocity u making an angle of $30^{\circ}$ with the horizontal. The magnitude of $(V_{h} \times h)$ of the projectile when the particle is at its maximum height h
21. Two pegs A and B thrown with speeds in the ratio 1: 3 acquired the same heights. If A is thrown at an angle of $30^{\circ}$ with the horizontal, the angle of projection of B will be
22. A body projected at an angle with the horizontal has a range 300 m. If the time of flight is 6 s, then the horizontal component of velocity is
23. The range of a projectile is R when the angle of projection is $40^{\circ}$. For the same velocity of projection and range, the other possible angle of projection is
24. If the angles of projection of a projectile with same initial velocity exceed or fall short of $45^{\circ}$ by equal amounts, then the ratio of horizontal ranges is
25. The equation of a projectile is $y = \sqrt{3}x - \frac{{gx}^{2}}{2}$ The angle of projection is given by
26. Equation of trajectory of projectile is given by $y = x/\sqrt{3} - gx^{2}/20$, where x and y are in meter. The maximum range of the projectile is
27. A stone is just released from the window of a moving train moving along a horizontal straight track. The stone will hit the ground following a
28. A ball is thrown from rear end of the compartment of train to the front end which is moving at a constant horizontal velocity. An observer A sitting in the compartment and another observer B standing on the ground draw the trajectory. They will have
29. A stone is projected horizontally with velocity u from a height H. It's time of flight is:
30. A body of mass 10 kg is projected at an angle of $45^{\circ}$ with the horizontal. The trajectory of the body is observed to pass through a point (20,10). If T is time of flight, then its momentum vector, at time $t = T/\sqrt{2}$, is [Take $g = 10 m/s^{2}$ ]
31. A stone is thrown from a point with a speed $5 m/s$ at an elevation angle of $\theta$. From the same point and at the same instant, a person starts running with a constant speed $2.5 m/s$ to catch the stone. If the person will be able to catch the ball then, what should be the angle of projection $\theta$?
32. Two balls are projected simultaneously in the same vertical plane from the same point with velocities $v_{1}$ and $v_{2}$ with angle $\theta_{1}$ and $\theta_{2}$ respectively with the horizontal. If $v_{1}\cos \theta_{1} = v_{2}\cos \theta_{2}$, the path of one ball as seen from the position of other ball is:
33. A bullet is fired with a speed of $1500 m/s$ in order to hit a target 100 m away. If $g = 10 m/s^{2}$. The gun should be aimed
34. A projectile is thrown in the upward direction making an angle of $60^{\circ}$ with the horizontal direction with a velocity of $147 ms^{-1}$. Then the time after which its inclination with the horizontal is $45^{\circ}$, is
35. A particle is projected with a velocity v such that its range on the horizontal plane is twice the greatest height attained by it. The range of the projectile is (where g is acceleration due to gravity)