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:

 1 $$-2\hat i+3\hat j~$$ 2 $$2\hat i-3\hat j~$$ 3 $$2\hat i+3\hat j~$$ 4 $$-2\hat i-3\hat j~$$
Subtopic: Â Projectile Motion |
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A stone projected with a velocity $$u$$ at an angle $$\theta$$ with the horizontal reaches maximum height $$H_1$$. When it is projected with velocity $$u$$ at an angle $$\frac{\pi}{2}-\theta$$ with the horizontal, it reaches maximum height $$H_2$$. The relation between the horizontal range of the projectile $$R$$ and $$H_1$$ & $$H_2$$ is:

 1 $$R=4 \sqrt{H_1 H_2}$$ 2 $$R=4\left(H_1-H_2\right)$$ 3 $$R=4\left(H_1+H_2\right)$$ 4 $$R=\frac{H_1{ }^2}{H_2{ }^2}$$
Subtopic: Â Projectile Motion |
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An aeroplane is moving with a velocity $$u$$. It drops a packet from a height $$h$$. The time $$t$$ taken by the packet to reach the ground will be:
1. $$\sqrt{\left(\frac{2 g}{h}\right)}$$
2. $$\sqrt{\left(\frac{2 u}{g}\right)}$$
3. $$\sqrt{\left(\frac{h}{2 g}\right)}$$
4. $$\sqrt{\left(\frac{2 h}{g}\right)}$$

Subtopic: Â Projectile Motion |
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The equation of trajectory of a projectile is given by $$y = x-10x^{2}$$Its speed of projection is: ($$g =1 0$$ m/${\mathrm{s}}^{2}$)
1. $$1$$ m/s

2. $$2$$ m/s

3. $$3$$ m/s

4. $$4$$ m/s

Subtopic: Â Projectile Motion |
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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

Subtopic: Â Projectile Motion |
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A body is projected with velocity $$\vec{v} = \left( \alpha \hat{i} + \beta \hat{j} \right)~\text{m/s}$$. The time of flight of the body is: [considering $$x$$ as horizontal and $$y$$ as vertical axis and $$g$$ is acceleration due to gravity]
1. $$\frac{2 \beta}{g}$$
2. $$\frac{2 \alpha}{g}$$
3. $$\frac{2 \alpha \beta}{g}$$
4. $$\frac{2 \alpha}{g \beta}$$
Subtopic: Â Projectile Motion |
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When a particle is projected at some angle to the horizontal, it has a range $$R$$ and time of flight $$t_1$$. If the same particle is projected with the same speed at some other angle to have the same range, its time of flight is $$t_2$$, then:
1. $$t_{1} + t_{2} = \frac{2 R}{g}$$
2. $$t_{1} - t_{2} = \frac{R}{g}$$
3. $$t_{1} t_{2} = \frac{2 R}{g}$$
4. $$t_{1} t_{2} = \frac{R}{g}$$

Subtopic: Â Projectile Motion |
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Three balls are thrown from the top of a building with equal speeds at different angles. When the balls strike the ground, their speeds are $$v_{1} , v_{2}$$ $$\text{and}$$ $$v_{3}$$ respectively, then:

1. $$v_{1} > v_{2} > v_{3}$$
2. $$v_{3} > v_{2} = v_{1}$$
3. $$v_{1} = v_{2} = v_{3}$$
4. $$v_{1} < v_{2} < v_{3}$$${}_{}$

Subtopic: Â Projectile Motion |
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Two bullets are fired simultaneously horizontally and at different speeds from the same place. Which bullet will hit the ground first? (Air resistance is neglected)

 1 The faster one 2 The slower one 3 Depends on masses 4 Both will reach simultaneously
Subtopic: Â Projectile Motion |
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