03. Projectile Motion
Motion in Plane

143788 A projectile is projected at \(10 \mathrm{~ms}^{-1}\) by making at an angle \(60^{0}\) to the horizontal. After some time its velocity makes an angle of \(30^{\circ}\) to the horizontal. Its speed at this instant is:

1 \(\frac{10}{\sqrt{3}}\)
2 \(10 \sqrt{3}\)
3 \(\frac{5}{\sqrt{3}}\)
4 \(5 \sqrt{3}\)
Motion in Plane

143789 The height \(y\) and the distance \(x\) along the horizontal plane of a projectile on a certain planet (with no surrounding atmosphere) are given by \(y=\left(8 t-5 t^{2}\right) m\) and \(x=6 t m\), where \(t\) is in seconds. The velocity with which the projectile is projected is:

1 \(6 \mathrm{~ms}^{-1}\)
2 \(8 \mathrm{~ms}^{-1}\)
3 \(10 \mathrm{~ms}^{-1}\)
4 \(14 \mathrm{~ms}^{-1}\)
Motion in Plane

143790 For a given velocity, a projectile has the same range \(R\) for two angles of projection \(t_{1}\) and \(t_{2}\) are the time of flight in the two cases then:

1 \(t_{1} t_{2} \propto R\)
2 \(t_{1} t_{2} \propto R^{2}\)
3 \(\mathrm{t}_{1} \mathrm{t}_{2} \propto \frac{1}{\mathrm{R}^{2}}\)
4 \(t_{1} t_{2} \propto \frac{1}{R}\)
Motion in Plane

143792 The maximum range of a projectile is \(100 \mathrm{~m}\). The maximum height reached by it is

1 \(100 \mathrm{~m}\)
2 \(25 \mathrm{~m}\)
3 \(200 \mathrm{~m}\)
4 \(75 \mathrm{~m}\)
Motion in Plane

143788 A projectile is projected at \(10 \mathrm{~ms}^{-1}\) by making at an angle \(60^{0}\) to the horizontal. After some time its velocity makes an angle of \(30^{\circ}\) to the horizontal. Its speed at this instant is:

1 \(\frac{10}{\sqrt{3}}\)
2 \(10 \sqrt{3}\)
3 \(\frac{5}{\sqrt{3}}\)
4 \(5 \sqrt{3}\)
Motion in Plane

143789 The height \(y\) and the distance \(x\) along the horizontal plane of a projectile on a certain planet (with no surrounding atmosphere) are given by \(y=\left(8 t-5 t^{2}\right) m\) and \(x=6 t m\), where \(t\) is in seconds. The velocity with which the projectile is projected is:

1 \(6 \mathrm{~ms}^{-1}\)
2 \(8 \mathrm{~ms}^{-1}\)
3 \(10 \mathrm{~ms}^{-1}\)
4 \(14 \mathrm{~ms}^{-1}\)
Motion in Plane

143790 For a given velocity, a projectile has the same range \(R\) for two angles of projection \(t_{1}\) and \(t_{2}\) are the time of flight in the two cases then:

1 \(t_{1} t_{2} \propto R\)
2 \(t_{1} t_{2} \propto R^{2}\)
3 \(\mathrm{t}_{1} \mathrm{t}_{2} \propto \frac{1}{\mathrm{R}^{2}}\)
4 \(t_{1} t_{2} \propto \frac{1}{R}\)
Motion in Plane

143792 The maximum range of a projectile is \(100 \mathrm{~m}\). The maximum height reached by it is

1 \(100 \mathrm{~m}\)
2 \(25 \mathrm{~m}\)
3 \(200 \mathrm{~m}\)
4 \(75 \mathrm{~m}\)
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Motion in Plane

143788 A projectile is projected at \(10 \mathrm{~ms}^{-1}\) by making at an angle \(60^{0}\) to the horizontal. After some time its velocity makes an angle of \(30^{\circ}\) to the horizontal. Its speed at this instant is:

1 \(\frac{10}{\sqrt{3}}\)
2 \(10 \sqrt{3}\)
3 \(\frac{5}{\sqrt{3}}\)
4 \(5 \sqrt{3}\)
Motion in Plane

143789 The height \(y\) and the distance \(x\) along the horizontal plane of a projectile on a certain planet (with no surrounding atmosphere) are given by \(y=\left(8 t-5 t^{2}\right) m\) and \(x=6 t m\), where \(t\) is in seconds. The velocity with which the projectile is projected is:

1 \(6 \mathrm{~ms}^{-1}\)
2 \(8 \mathrm{~ms}^{-1}\)
3 \(10 \mathrm{~ms}^{-1}\)
4 \(14 \mathrm{~ms}^{-1}\)
Motion in Plane

143790 For a given velocity, a projectile has the same range \(R\) for two angles of projection \(t_{1}\) and \(t_{2}\) are the time of flight in the two cases then:

1 \(t_{1} t_{2} \propto R\)
2 \(t_{1} t_{2} \propto R^{2}\)
3 \(\mathrm{t}_{1} \mathrm{t}_{2} \propto \frac{1}{\mathrm{R}^{2}}\)
4 \(t_{1} t_{2} \propto \frac{1}{R}\)
Motion in Plane

143792 The maximum range of a projectile is \(100 \mathrm{~m}\). The maximum height reached by it is

1 \(100 \mathrm{~m}\)
2 \(25 \mathrm{~m}\)
3 \(200 \mathrm{~m}\)
4 \(75 \mathrm{~m}\)
Motion in Plane

143788 A projectile is projected at \(10 \mathrm{~ms}^{-1}\) by making at an angle \(60^{0}\) to the horizontal. After some time its velocity makes an angle of \(30^{\circ}\) to the horizontal. Its speed at this instant is:

1 \(\frac{10}{\sqrt{3}}\)
2 \(10 \sqrt{3}\)
3 \(\frac{5}{\sqrt{3}}\)
4 \(5 \sqrt{3}\)
Motion in Plane

143789 The height \(y\) and the distance \(x\) along the horizontal plane of a projectile on a certain planet (with no surrounding atmosphere) are given by \(y=\left(8 t-5 t^{2}\right) m\) and \(x=6 t m\), where \(t\) is in seconds. The velocity with which the projectile is projected is:

1 \(6 \mathrm{~ms}^{-1}\)
2 \(8 \mathrm{~ms}^{-1}\)
3 \(10 \mathrm{~ms}^{-1}\)
4 \(14 \mathrm{~ms}^{-1}\)
Motion in Plane

143790 For a given velocity, a projectile has the same range \(R\) for two angles of projection \(t_{1}\) and \(t_{2}\) are the time of flight in the two cases then:

1 \(t_{1} t_{2} \propto R\)
2 \(t_{1} t_{2} \propto R^{2}\)
3 \(\mathrm{t}_{1} \mathrm{t}_{2} \propto \frac{1}{\mathrm{R}^{2}}\)
4 \(t_{1} t_{2} \propto \frac{1}{R}\)
Motion in Plane

143792 The maximum range of a projectile is \(100 \mathrm{~m}\). The maximum height reached by it is

1 \(100 \mathrm{~m}\)
2 \(25 \mathrm{~m}\)
3 \(200 \mathrm{~m}\)
4 \(75 \mathrm{~m}\)