03. Projectile Motion
Motion in Plane

143793 A body is projected at an angle \(\theta\) with respect to horizontal direction with velocity \(u\). The maximum range of the body is

1 \(\mathrm{R}=\frac{\mathrm{u}^{2} \sin 2 \theta}{\mathrm{g}}\)
2 \(\mathrm{R}=\frac{\mathrm{u}^{2} \sin ^{2} \theta}{2 \mathrm{~g}}\)
3 \(\mathrm{R}=\frac{\mathrm{u}^{2}}{\mathrm{~g}}\)
4 \(\mathrm{R}=\mathrm{u}^{2} \sin \theta\)
Motion in Plane

143794 From the top of a tower a body \(A\) is projected vertically upwards, another body \(B\) is horizontally thrown and a third body \(C\) is thrown vertically downwards with the same velocity

1 B strikes the ground with more velocity
2 C strikes the ground with less velocity
3 A, B, C, strike the ground with same velocity
4 A and C strike the ground with more velocity than B
Motion in Plane

143795 Two bodies are projected from ground with equal speeds \(20 \mathrm{~m} / \mathrm{sec}\) from the same position in same vertical plane to have equal range but at different angle above the horizontal. If one of the angle is \(30^{\circ}\) the sum of their maximum heights is (assume \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(400 \mathrm{~m}\)
2 \(20 \mathrm{~m}\)
3 \(30 \mathrm{~m}\)
4 \(40 \mathrm{~m}\)
Motion in Plane

143796 Neglecting the air resistance, the time of flight of a projectile is determined by

1 \(U_{\text {vertical }}\)
2 \(U_{\text {horizontal }}\)
3 \(U=U^{2}\) vertical \(+U^{2}\) horizontal
4 \(U=\left(U^{2}{ }_{\text {vertical }}+U_{\text {horizontal }}\right)^{1 / 2}\)
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Motion in Plane

143793 A body is projected at an angle \(\theta\) with respect to horizontal direction with velocity \(u\). The maximum range of the body is

1 \(\mathrm{R}=\frac{\mathrm{u}^{2} \sin 2 \theta}{\mathrm{g}}\)
2 \(\mathrm{R}=\frac{\mathrm{u}^{2} \sin ^{2} \theta}{2 \mathrm{~g}}\)
3 \(\mathrm{R}=\frac{\mathrm{u}^{2}}{\mathrm{~g}}\)
4 \(\mathrm{R}=\mathrm{u}^{2} \sin \theta\)
Motion in Plane

143794 From the top of a tower a body \(A\) is projected vertically upwards, another body \(B\) is horizontally thrown and a third body \(C\) is thrown vertically downwards with the same velocity

1 B strikes the ground with more velocity
2 C strikes the ground with less velocity
3 A, B, C, strike the ground with same velocity
4 A and C strike the ground with more velocity than B
Motion in Plane

143795 Two bodies are projected from ground with equal speeds \(20 \mathrm{~m} / \mathrm{sec}\) from the same position in same vertical plane to have equal range but at different angle above the horizontal. If one of the angle is \(30^{\circ}\) the sum of their maximum heights is (assume \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(400 \mathrm{~m}\)
2 \(20 \mathrm{~m}\)
3 \(30 \mathrm{~m}\)
4 \(40 \mathrm{~m}\)
Motion in Plane

143796 Neglecting the air resistance, the time of flight of a projectile is determined by

1 \(U_{\text {vertical }}\)
2 \(U_{\text {horizontal }}\)
3 \(U=U^{2}\) vertical \(+U^{2}\) horizontal
4 \(U=\left(U^{2}{ }_{\text {vertical }}+U_{\text {horizontal }}\right)^{1 / 2}\)
Motion in Plane

143793 A body is projected at an angle \(\theta\) with respect to horizontal direction with velocity \(u\). The maximum range of the body is

1 \(\mathrm{R}=\frac{\mathrm{u}^{2} \sin 2 \theta}{\mathrm{g}}\)
2 \(\mathrm{R}=\frac{\mathrm{u}^{2} \sin ^{2} \theta}{2 \mathrm{~g}}\)
3 \(\mathrm{R}=\frac{\mathrm{u}^{2}}{\mathrm{~g}}\)
4 \(\mathrm{R}=\mathrm{u}^{2} \sin \theta\)
Motion in Plane

143794 From the top of a tower a body \(A\) is projected vertically upwards, another body \(B\) is horizontally thrown and a third body \(C\) is thrown vertically downwards with the same velocity

1 B strikes the ground with more velocity
2 C strikes the ground with less velocity
3 A, B, C, strike the ground with same velocity
4 A and C strike the ground with more velocity than B
Motion in Plane

143795 Two bodies are projected from ground with equal speeds \(20 \mathrm{~m} / \mathrm{sec}\) from the same position in same vertical plane to have equal range but at different angle above the horizontal. If one of the angle is \(30^{\circ}\) the sum of their maximum heights is (assume \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(400 \mathrm{~m}\)
2 \(20 \mathrm{~m}\)
3 \(30 \mathrm{~m}\)
4 \(40 \mathrm{~m}\)
Motion in Plane

143796 Neglecting the air resistance, the time of flight of a projectile is determined by

1 \(U_{\text {vertical }}\)
2 \(U_{\text {horizontal }}\)
3 \(U=U^{2}\) vertical \(+U^{2}\) horizontal
4 \(U=\left(U^{2}{ }_{\text {vertical }}+U_{\text {horizontal }}\right)^{1 / 2}\)
Motion in Plane

143793 A body is projected at an angle \(\theta\) with respect to horizontal direction with velocity \(u\). The maximum range of the body is

1 \(\mathrm{R}=\frac{\mathrm{u}^{2} \sin 2 \theta}{\mathrm{g}}\)
2 \(\mathrm{R}=\frac{\mathrm{u}^{2} \sin ^{2} \theta}{2 \mathrm{~g}}\)
3 \(\mathrm{R}=\frac{\mathrm{u}^{2}}{\mathrm{~g}}\)
4 \(\mathrm{R}=\mathrm{u}^{2} \sin \theta\)
Motion in Plane

143794 From the top of a tower a body \(A\) is projected vertically upwards, another body \(B\) is horizontally thrown and a third body \(C\) is thrown vertically downwards with the same velocity

1 B strikes the ground with more velocity
2 C strikes the ground with less velocity
3 A, B, C, strike the ground with same velocity
4 A and C strike the ground with more velocity than B
Motion in Plane

143795 Two bodies are projected from ground with equal speeds \(20 \mathrm{~m} / \mathrm{sec}\) from the same position in same vertical plane to have equal range but at different angle above the horizontal. If one of the angle is \(30^{\circ}\) the sum of their maximum heights is (assume \(g=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(400 \mathrm{~m}\)
2 \(20 \mathrm{~m}\)
3 \(30 \mathrm{~m}\)
4 \(40 \mathrm{~m}\)
Motion in Plane

143796 Neglecting the air resistance, the time of flight of a projectile is determined by

1 \(U_{\text {vertical }}\)
2 \(U_{\text {horizontal }}\)
3 \(U=U^{2}\) vertical \(+U^{2}\) horizontal
4 \(U=\left(U^{2}{ }_{\text {vertical }}+U_{\text {horizontal }}\right)^{1 / 2}\)