OBLIQUE PROJECTILE
Motion in Plane

269888 If\(\overrightarrow{\mathrm{u}}=\mathrm{a} \hat{i}+\mathrm{b} \hat{j}+\mathrm{c} \hat{\mathrm{k}}\) with \(\hat{i}, \hat{j}, \hat{k}\) are in east, north and vertical directions, the maximum height of the projectile is

1 \(\frac{a^{2}}{2 g}\)
2 \(\frac{b^{2}}{2 g}\)
3 \(\frac{c^{2}}{2 g}\)
4 \(\frac{b^{2} c^{2}}{2 g}\)
Motion in Plane

269918 The parabolic path of a projectile is represented by \(y=\frac{x}{\sqrt{3}}-\frac{x^{2}}{60}\) in MKS units : Its angle of projection is \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
Motion in Plane

269919 A body is projected at angle\(30^{\circ}\) to horizontal with a velocity \(50 \mathrm{~ms}^{-1}\). Its time of flight is

1 \(4 \mathrm{~s}\)
2 \(5 \mathrm{~s}\)
3 \(6 \mathrm{~s}\)
4 \(7 \mathrm{~s}\)
Motion in Plane

269920 A body is projected with velocity\(60 \mathrm{~m} / \mathrm{s}\) at \(30^{\circ}\) to the horizontal. The velocity of the body after 3 seconds is

1 \(20 \hat{i}+20 \sqrt{3} \hat{j}\)
2 \(30 \hat{i}\)
3 \(10 \sqrt{3} \hat{j}\)
4 \(30 \sqrt{3} \hat{i}\)
Motion in Plane

269921 A body is projected with velocity\(u\) such that in horizontal range and maximum vertical heights are same.The maximum height is

1 \(\frac{u^{2}}{2 g}\)
2 \(\frac{3 u^{2}}{4 g}\)
3 \(\frac{16 u^{2}}{17 g}\)
4 \(\frac{8 u^{2}}{17 g}\)
Motion in Plane

269888 If\(\overrightarrow{\mathrm{u}}=\mathrm{a} \hat{i}+\mathrm{b} \hat{j}+\mathrm{c} \hat{\mathrm{k}}\) with \(\hat{i}, \hat{j}, \hat{k}\) are in east, north and vertical directions, the maximum height of the projectile is

1 \(\frac{a^{2}}{2 g}\)
2 \(\frac{b^{2}}{2 g}\)
3 \(\frac{c^{2}}{2 g}\)
4 \(\frac{b^{2} c^{2}}{2 g}\)
Motion in Plane

269918 The parabolic path of a projectile is represented by \(y=\frac{x}{\sqrt{3}}-\frac{x^{2}}{60}\) in MKS units : Its angle of projection is \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
Motion in Plane

269919 A body is projected at angle\(30^{\circ}\) to horizontal with a velocity \(50 \mathrm{~ms}^{-1}\). Its time of flight is

1 \(4 \mathrm{~s}\)
2 \(5 \mathrm{~s}\)
3 \(6 \mathrm{~s}\)
4 \(7 \mathrm{~s}\)
Motion in Plane

269920 A body is projected with velocity\(60 \mathrm{~m} / \mathrm{s}\) at \(30^{\circ}\) to the horizontal. The velocity of the body after 3 seconds is

1 \(20 \hat{i}+20 \sqrt{3} \hat{j}\)
2 \(30 \hat{i}\)
3 \(10 \sqrt{3} \hat{j}\)
4 \(30 \sqrt{3} \hat{i}\)
Motion in Plane

269921 A body is projected with velocity\(u\) such that in horizontal range and maximum vertical heights are same.The maximum height is

1 \(\frac{u^{2}}{2 g}\)
2 \(\frac{3 u^{2}}{4 g}\)
3 \(\frac{16 u^{2}}{17 g}\)
4 \(\frac{8 u^{2}}{17 g}\)
Motion in Plane

269888 If\(\overrightarrow{\mathrm{u}}=\mathrm{a} \hat{i}+\mathrm{b} \hat{j}+\mathrm{c} \hat{\mathrm{k}}\) with \(\hat{i}, \hat{j}, \hat{k}\) are in east, north and vertical directions, the maximum height of the projectile is

1 \(\frac{a^{2}}{2 g}\)
2 \(\frac{b^{2}}{2 g}\)
3 \(\frac{c^{2}}{2 g}\)
4 \(\frac{b^{2} c^{2}}{2 g}\)
Motion in Plane

269918 The parabolic path of a projectile is represented by \(y=\frac{x}{\sqrt{3}}-\frac{x^{2}}{60}\) in MKS units : Its angle of projection is \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
Motion in Plane

269919 A body is projected at angle\(30^{\circ}\) to horizontal with a velocity \(50 \mathrm{~ms}^{-1}\). Its time of flight is

1 \(4 \mathrm{~s}\)
2 \(5 \mathrm{~s}\)
3 \(6 \mathrm{~s}\)
4 \(7 \mathrm{~s}\)
Motion in Plane

269920 A body is projected with velocity\(60 \mathrm{~m} / \mathrm{s}\) at \(30^{\circ}\) to the horizontal. The velocity of the body after 3 seconds is

1 \(20 \hat{i}+20 \sqrt{3} \hat{j}\)
2 \(30 \hat{i}\)
3 \(10 \sqrt{3} \hat{j}\)
4 \(30 \sqrt{3} \hat{i}\)
Motion in Plane

269921 A body is projected with velocity\(u\) such that in horizontal range and maximum vertical heights are same.The maximum height is

1 \(\frac{u^{2}}{2 g}\)
2 \(\frac{3 u^{2}}{4 g}\)
3 \(\frac{16 u^{2}}{17 g}\)
4 \(\frac{8 u^{2}}{17 g}\)
Motion in Plane

269888 If\(\overrightarrow{\mathrm{u}}=\mathrm{a} \hat{i}+\mathrm{b} \hat{j}+\mathrm{c} \hat{\mathrm{k}}\) with \(\hat{i}, \hat{j}, \hat{k}\) are in east, north and vertical directions, the maximum height of the projectile is

1 \(\frac{a^{2}}{2 g}\)
2 \(\frac{b^{2}}{2 g}\)
3 \(\frac{c^{2}}{2 g}\)
4 \(\frac{b^{2} c^{2}}{2 g}\)
Motion in Plane

269918 The parabolic path of a projectile is represented by \(y=\frac{x}{\sqrt{3}}-\frac{x^{2}}{60}\) in MKS units : Its angle of projection is \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
Motion in Plane

269919 A body is projected at angle\(30^{\circ}\) to horizontal with a velocity \(50 \mathrm{~ms}^{-1}\). Its time of flight is

1 \(4 \mathrm{~s}\)
2 \(5 \mathrm{~s}\)
3 \(6 \mathrm{~s}\)
4 \(7 \mathrm{~s}\)
Motion in Plane

269920 A body is projected with velocity\(60 \mathrm{~m} / \mathrm{s}\) at \(30^{\circ}\) to the horizontal. The velocity of the body after 3 seconds is

1 \(20 \hat{i}+20 \sqrt{3} \hat{j}\)
2 \(30 \hat{i}\)
3 \(10 \sqrt{3} \hat{j}\)
4 \(30 \sqrt{3} \hat{i}\)
Motion in Plane

269921 A body is projected with velocity\(u\) such that in horizontal range and maximum vertical heights are same.The maximum height is

1 \(\frac{u^{2}}{2 g}\)
2 \(\frac{3 u^{2}}{4 g}\)
3 \(\frac{16 u^{2}}{17 g}\)
4 \(\frac{8 u^{2}}{17 g}\)
Motion in Plane

269888 If\(\overrightarrow{\mathrm{u}}=\mathrm{a} \hat{i}+\mathrm{b} \hat{j}+\mathrm{c} \hat{\mathrm{k}}\) with \(\hat{i}, \hat{j}, \hat{k}\) are in east, north and vertical directions, the maximum height of the projectile is

1 \(\frac{a^{2}}{2 g}\)
2 \(\frac{b^{2}}{2 g}\)
3 \(\frac{c^{2}}{2 g}\)
4 \(\frac{b^{2} c^{2}}{2 g}\)
Motion in Plane

269918 The parabolic path of a projectile is represented by \(y=\frac{x}{\sqrt{3}}-\frac{x^{2}}{60}\) in MKS units : Its angle of projection is \(\left(\mathrm{g}=10 \mathrm{~ms}^{-2}\right)\)

1 \(30^{\circ}\)
2 \(45^{\circ}\)
3 \(60^{\circ}\)
4 \(90^{\circ}\)
Motion in Plane

269919 A body is projected at angle\(30^{\circ}\) to horizontal with a velocity \(50 \mathrm{~ms}^{-1}\). Its time of flight is

1 \(4 \mathrm{~s}\)
2 \(5 \mathrm{~s}\)
3 \(6 \mathrm{~s}\)
4 \(7 \mathrm{~s}\)
Motion in Plane

269920 A body is projected with velocity\(60 \mathrm{~m} / \mathrm{s}\) at \(30^{\circ}\) to the horizontal. The velocity of the body after 3 seconds is

1 \(20 \hat{i}+20 \sqrt{3} \hat{j}\)
2 \(30 \hat{i}\)
3 \(10 \sqrt{3} \hat{j}\)
4 \(30 \sqrt{3} \hat{i}\)
Motion in Plane

269921 A body is projected with velocity\(u\) such that in horizontal range and maximum vertical heights are same.The maximum height is

1 \(\frac{u^{2}}{2 g}\)
2 \(\frac{3 u^{2}}{4 g}\)
3 \(\frac{16 u^{2}}{17 g}\)
4 \(\frac{8 u^{2}}{17 g}\)