Q. No.If \(x\) and \(y\) coordinates of a projectile as a function of time \((t)\) are given as \(24t\) and \(43.6t - 4.9t^{2}, \) respectively, then the angle (in degrees) made by the projectile with horizontal when \(t =2~\text{s}\) is:
1. \(60\)
2. \(45\)
3. \(30\)
4. \(75\)
1. \(60\)
2. \(45\)
3. \(30\)
4. \(75\)
Subtopic: Projectile Motion |
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A gun mounted on the ground fires bullets in all directions with same speed. The farthest distance the bullets could reach is \(6.4~\text{m}.\) The speed of bullets from the gun is: (in m/s)
(take \(g = 10~\text{m/s}^2\))
1. \(6.4\)
2. \(8\)
3. \(12\)
4. \(19\)
(take \(g = 10~\text{m/s}^2\))
1. \(6.4\)
2. \(8\)
3. \(12\)
4. \(19\)
Subtopic: Projectile Motion |
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Two identical bodies, projected with the same speed at two different angles cover the same horizontal range \(R\). If the time of these bodies are \(5~\text{s}\) and \(10~\text{s}\), respectively, then the value of \(R\) is: (in m) (Take \(g=10~\text{m/s}^2\))
1. \(250\)
2. \(25\)
3. \(500\)
4. \(125\)
1. \(250\)
2. \(25\)
3. \(500\)
4. \(125\)
Subtopic: Projectile Motion |
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The two projectiles are projected with the same initial velocities at the \(15^{\circ}\) and \(30^\circ\) with respect to the horizontal. The ratio of their ranges is \(1:x\). The value of \(x\) is:
1. \(\sqrt2\)
2. \(\sqrt3\)
3. \(2\sqrt3\)
4. \(\dfrac{1}{\sqrt2}\)
1. \(\sqrt2\)
2. \(\sqrt3\)
3. \(2\sqrt3\)
4. \(\dfrac{1}{\sqrt2}\)
Subtopic: Projectile Motion |
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A projectile is thrown upward at an angle \(60^\circ\) with the horizontal. The speed of the projectile is \(20~\text{m/s}\) when its direction of motion is \(45^\circ\) with the horizontal. The initial speed of the projectile is:
1. \(40\sqrt{2}\) m/s
2. \(40\) m/s
3. \(20\sqrt{3}\) m/s
4. \(20\sqrt{2}\) m/s
1. \(40\sqrt{2}\) m/s
2. \(40\) m/s
3. \(20\sqrt{3}\) m/s
4. \(20\sqrt{2}\) m/s
Subtopic: Projectile Motion |
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An object is projected with kinetic energy \(K\) from a point \(A\) at an angle \(60^{\circ}\) with the horizontal. The ratio of the difference in kinetic energies points \(B\) and \(C\) to that at point \(A\) (see figure), in the absence of air friction is:
1. \(1:2\)
2. \(2:3\)
3. \(1:4\)
4. \(3:4\)
1. \(1:2\)
2. \(2:3\)
3. \(1:4\)
4. \(3:4\)
Subtopic: Projectile Motion |
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A boy thrown a ball into air at \(45^\circ\) from the horizontal to land it on a roof of a building of height \(H.\) If the ball attains maximum height in \(2~\text{s}\) and lands on the building in \(3~\text{s}\) after launch, then value of \(H\) is: (in m)
\(\left(g=10~\text{m/s}^2\right)\)
1. \(20\)
2. \(10\)
3. \(25\)
4. \(15\)
\(\left(g=10~\text{m/s}^2\right)\)
1. \(20\)
2. \(10\)
3. \(25\)
4. \(15\)
Subtopic: Projectile Motion |
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Two balls with same mass and initial velocity, are projected at different angles in such a way that maximum height reached by first ball is \(8\) times higher than that of the second ball. \(T_1\) and \(T_2\) are the total flying times of first and second ball, respectively, then the ratio of \(T_1\) and \(T_2\) is:
1. \(2\sqrt{2}:1 \)
2. \(2:1\)
3. \(\sqrt{2}:1 \)
4. \(4:1\)
1. \(2\sqrt{2}:1 \)
2. \(2:1\)
3. \(\sqrt{2}:1 \)
4. \(4:1\)
Subtopic: Projectile Motion |
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A particle is projected with velocity \(u\) so that its horizontal range is three times the maximum height attained by it. The horizontal range of the projectile is given as \(\dfrac{{nu}^2}{25g}, \) where value of \(n\) is: (Given, \(g\) is the acceleration due to gravity.)
1. \(12\)
2. \(6\)
3. \(24\)
4. \(18\)
1. \(12\)
2. \(6\)
3. \(24\)
4. \(18\)
Subtopic: Projectile Motion |
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The angle of projection of a particle is measured from the vertical axis as \(\phi\) and the maximum height reached by the particle is \(h_m \). Here \(h_m \) as function of \(\phi \) can be presented as:
| 1. |  |
2. |  |
| 3. |  |
4. |  |
Subtopic: Projectile Motion |
Level 4: Below 35%
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