Projectile – Oblique Projectile
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PHXI04:MOTION IN A PLANE

361999 A particle of mass \(m\) is projected with a velocity \(v\) at an angle of \(60^{\circ}\) with horizontal. When the particle is at its maximum height, the magnitude of its angular momentum about the point of projection is

1 zero
2 \(\dfrac{3 m v^{3}}{16 g}\)
3 \(\dfrac{\sqrt{3} m v^{3}}{16 g}\)
4 \(\dfrac{3 m v^{3}}{8 g}\)
PHXI04:MOTION IN A PLANE

362000 A ball is projected from the ground at angle \(\theta \) with the horizontal. After 1 \(s\), it is moving at angle \(45^\circ \) with the horizontal and after 2 \(s\) it is moving horizontally. What is the velocity of projection of the ball?

1 \(10\sqrt 3 \,m{s^{ - 1}}\)
2 \(20\sqrt 3 \,m{s^{ - 1}}\)
3 \(10\sqrt 5 \,m{s^{ - 1}}\)
4 \(20\sqrt 2 \,m{s^{ - 1}}\)
PHXI04:MOTION IN A PLANE

362001 A ball is projected at an angle \(60^\circ \) with the horizontal with speed 30 \(m\)/\(s\). After certain time it makes an angle \(45^\circ \) with the horizontal. The speed of ball at that moment is

1 \(30\sqrt 2 \,m/s\)
2 \(15\sqrt 2 \,m/s\)
3 \(30\,m/s\)
4 \(\frac{{15}}{{\sqrt 2 }}m/s\)
PHXI04:MOTION IN A PLANE

362002 A body is projected at an angle of \(30^\circ \) with the horizontal with momentum \(p\). At its highest point the magnitude of the momentum is

1 \(\frac{{\sqrt 3 }}{2}p\)
2 \(\frac{2}{{\sqrt 3 }}p\)
3 \(p\)
4 \(\frac{p}{2}\)
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PHXI04:MOTION IN A PLANE

361999 A particle of mass \(m\) is projected with a velocity \(v\) at an angle of \(60^{\circ}\) with horizontal. When the particle is at its maximum height, the magnitude of its angular momentum about the point of projection is

1 zero
2 \(\dfrac{3 m v^{3}}{16 g}\)
3 \(\dfrac{\sqrt{3} m v^{3}}{16 g}\)
4 \(\dfrac{3 m v^{3}}{8 g}\)
PHXI04:MOTION IN A PLANE

362000 A ball is projected from the ground at angle \(\theta \) with the horizontal. After 1 \(s\), it is moving at angle \(45^\circ \) with the horizontal and after 2 \(s\) it is moving horizontally. What is the velocity of projection of the ball?

1 \(10\sqrt 3 \,m{s^{ - 1}}\)
2 \(20\sqrt 3 \,m{s^{ - 1}}\)
3 \(10\sqrt 5 \,m{s^{ - 1}}\)
4 \(20\sqrt 2 \,m{s^{ - 1}}\)
PHXI04:MOTION IN A PLANE

362001 A ball is projected at an angle \(60^\circ \) with the horizontal with speed 30 \(m\)/\(s\). After certain time it makes an angle \(45^\circ \) with the horizontal. The speed of ball at that moment is

1 \(30\sqrt 2 \,m/s\)
2 \(15\sqrt 2 \,m/s\)
3 \(30\,m/s\)
4 \(\frac{{15}}{{\sqrt 2 }}m/s\)
PHXI04:MOTION IN A PLANE

362002 A body is projected at an angle of \(30^\circ \) with the horizontal with momentum \(p\). At its highest point the magnitude of the momentum is

1 \(\frac{{\sqrt 3 }}{2}p\)
2 \(\frac{2}{{\sqrt 3 }}p\)
3 \(p\)
4 \(\frac{p}{2}\)
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PHXI04:MOTION IN A PLANE

361999 A particle of mass \(m\) is projected with a velocity \(v\) at an angle of \(60^{\circ}\) with horizontal. When the particle is at its maximum height, the magnitude of its angular momentum about the point of projection is

1 zero
2 \(\dfrac{3 m v^{3}}{16 g}\)
3 \(\dfrac{\sqrt{3} m v^{3}}{16 g}\)
4 \(\dfrac{3 m v^{3}}{8 g}\)
PHXI04:MOTION IN A PLANE

362000 A ball is projected from the ground at angle \(\theta \) with the horizontal. After 1 \(s\), it is moving at angle \(45^\circ \) with the horizontal and after 2 \(s\) it is moving horizontally. What is the velocity of projection of the ball?

1 \(10\sqrt 3 \,m{s^{ - 1}}\)
2 \(20\sqrt 3 \,m{s^{ - 1}}\)
3 \(10\sqrt 5 \,m{s^{ - 1}}\)
4 \(20\sqrt 2 \,m{s^{ - 1}}\)
PHXI04:MOTION IN A PLANE

362001 A ball is projected at an angle \(60^\circ \) with the horizontal with speed 30 \(m\)/\(s\). After certain time it makes an angle \(45^\circ \) with the horizontal. The speed of ball at that moment is

1 \(30\sqrt 2 \,m/s\)
2 \(15\sqrt 2 \,m/s\)
3 \(30\,m/s\)
4 \(\frac{{15}}{{\sqrt 2 }}m/s\)
PHXI04:MOTION IN A PLANE

362002 A body is projected at an angle of \(30^\circ \) with the horizontal with momentum \(p\). At its highest point the magnitude of the momentum is

1 \(\frac{{\sqrt 3 }}{2}p\)
2 \(\frac{2}{{\sqrt 3 }}p\)
3 \(p\)
4 \(\frac{p}{2}\)
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PHXI04:MOTION IN A PLANE

361999 A particle of mass \(m\) is projected with a velocity \(v\) at an angle of \(60^{\circ}\) with horizontal. When the particle is at its maximum height, the magnitude of its angular momentum about the point of projection is

1 zero
2 \(\dfrac{3 m v^{3}}{16 g}\)
3 \(\dfrac{\sqrt{3} m v^{3}}{16 g}\)
4 \(\dfrac{3 m v^{3}}{8 g}\)
PHXI04:MOTION IN A PLANE

362000 A ball is projected from the ground at angle \(\theta \) with the horizontal. After 1 \(s\), it is moving at angle \(45^\circ \) with the horizontal and after 2 \(s\) it is moving horizontally. What is the velocity of projection of the ball?

1 \(10\sqrt 3 \,m{s^{ - 1}}\)
2 \(20\sqrt 3 \,m{s^{ - 1}}\)
3 \(10\sqrt 5 \,m{s^{ - 1}}\)
4 \(20\sqrt 2 \,m{s^{ - 1}}\)
PHXI04:MOTION IN A PLANE

362001 A ball is projected at an angle \(60^\circ \) with the horizontal with speed 30 \(m\)/\(s\). After certain time it makes an angle \(45^\circ \) with the horizontal. The speed of ball at that moment is

1 \(30\sqrt 2 \,m/s\)
2 \(15\sqrt 2 \,m/s\)
3 \(30\,m/s\)
4 \(\frac{{15}}{{\sqrt 2 }}m/s\)
PHXI04:MOTION IN A PLANE

362002 A body is projected at an angle of \(30^\circ \) with the horizontal with momentum \(p\). At its highest point the magnitude of the momentum is

1 \(\frac{{\sqrt 3 }}{2}p\)
2 \(\frac{2}{{\sqrt 3 }}p\)
3 \(p\)
4 \(\frac{p}{2}\)
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