04. Motion Under Gravity
Motion in One Dimensions

141842 A girl throws a stone horizontally from the roof of a house \(12 \mathrm{~m}\) above the ground with a speed of \(15 \mathrm{~m} / \mathrm{s}\). Neglecting air resistance the time it takes for the stone to reach the ground is

1 \(1.55 \mathrm{sec}\)
2 \(3.1 \mathrm{sec}\)
3 \(2.34 \mathrm{sec}\)
4 \(4.10 \mathrm{sec}\)
Motion in One Dimensions

141843 A man of height \(7.33 \mathrm{ft}\) releases a stone from the slingshot just above his head. If the stone travels in a vertical direction towards the sky with velocity of \(10 \mathrm{~ms}^{-1}\), then the time it takes to reach the ground is (Assume acceleration due to gravity \(g=10 \mathbf{m s}^{-2}\) )

1 \(1.6 \mathrm{~s}\)
2 \(1.8 \mathrm{~s}\)
3 \(2.0 \mathrm{~s}\)
4 \(2.2 \mathrm{~s}\)
Motion in One Dimensions

141844 A body is projected horizontally form the top of a tall tower with a velocity of \(30 \mathrm{~ms}^{-1}\). At time \(t_{1}\), its horizontal and vertical components of the velocity are equal and time \(t_{2}\), its horizontal and vertical displacements are equal. Then \(t_{2}-t_{1}\) is (take, \(g=10 \mathbf{m s}^{-2}\) )

1 \(1 \mathrm{~s}\)
2 \(1.5 \mathrm{~s}\)
3 \(2 \mathrm{~s}\)
4 \(3 \mathrm{~s}\)
Motion in One Dimensions

141845 A ball is thrown upwards with a speed \(u\) from a height \(h\) above the gound. The time taken by the ball to hit the ground is

1 \(\sqrt{2 \mathrm{~h} / \mathrm{g}}\)
2 \(\sqrt{8 \mathrm{~h} / \mathrm{g}}\)
3 \(\frac{\sqrt{\mathrm{u}^{2} / 2 \mathrm{gh}}}{\mathrm{g}}\)
4 \(\frac{u}{g}+\sqrt{\frac{2 h}{g}}\)
Motion in One Dimensions

141842 A girl throws a stone horizontally from the roof of a house \(12 \mathrm{~m}\) above the ground with a speed of \(15 \mathrm{~m} / \mathrm{s}\). Neglecting air resistance the time it takes for the stone to reach the ground is

1 \(1.55 \mathrm{sec}\)
2 \(3.1 \mathrm{sec}\)
3 \(2.34 \mathrm{sec}\)
4 \(4.10 \mathrm{sec}\)
Motion in One Dimensions

141843 A man of height \(7.33 \mathrm{ft}\) releases a stone from the slingshot just above his head. If the stone travels in a vertical direction towards the sky with velocity of \(10 \mathrm{~ms}^{-1}\), then the time it takes to reach the ground is (Assume acceleration due to gravity \(g=10 \mathbf{m s}^{-2}\) )

1 \(1.6 \mathrm{~s}\)
2 \(1.8 \mathrm{~s}\)
3 \(2.0 \mathrm{~s}\)
4 \(2.2 \mathrm{~s}\)
Motion in One Dimensions

141844 A body is projected horizontally form the top of a tall tower with a velocity of \(30 \mathrm{~ms}^{-1}\). At time \(t_{1}\), its horizontal and vertical components of the velocity are equal and time \(t_{2}\), its horizontal and vertical displacements are equal. Then \(t_{2}-t_{1}\) is (take, \(g=10 \mathbf{m s}^{-2}\) )

1 \(1 \mathrm{~s}\)
2 \(1.5 \mathrm{~s}\)
3 \(2 \mathrm{~s}\)
4 \(3 \mathrm{~s}\)
Motion in One Dimensions

141845 A ball is thrown upwards with a speed \(u\) from a height \(h\) above the gound. The time taken by the ball to hit the ground is

1 \(\sqrt{2 \mathrm{~h} / \mathrm{g}}\)
2 \(\sqrt{8 \mathrm{~h} / \mathrm{g}}\)
3 \(\frac{\sqrt{\mathrm{u}^{2} / 2 \mathrm{gh}}}{\mathrm{g}}\)
4 \(\frac{u}{g}+\sqrt{\frac{2 h}{g}}\)
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Motion in One Dimensions

141842 A girl throws a stone horizontally from the roof of a house \(12 \mathrm{~m}\) above the ground with a speed of \(15 \mathrm{~m} / \mathrm{s}\). Neglecting air resistance the time it takes for the stone to reach the ground is

1 \(1.55 \mathrm{sec}\)
2 \(3.1 \mathrm{sec}\)
3 \(2.34 \mathrm{sec}\)
4 \(4.10 \mathrm{sec}\)
Motion in One Dimensions

141843 A man of height \(7.33 \mathrm{ft}\) releases a stone from the slingshot just above his head. If the stone travels in a vertical direction towards the sky with velocity of \(10 \mathrm{~ms}^{-1}\), then the time it takes to reach the ground is (Assume acceleration due to gravity \(g=10 \mathbf{m s}^{-2}\) )

1 \(1.6 \mathrm{~s}\)
2 \(1.8 \mathrm{~s}\)
3 \(2.0 \mathrm{~s}\)
4 \(2.2 \mathrm{~s}\)
Motion in One Dimensions

141844 A body is projected horizontally form the top of a tall tower with a velocity of \(30 \mathrm{~ms}^{-1}\). At time \(t_{1}\), its horizontal and vertical components of the velocity are equal and time \(t_{2}\), its horizontal and vertical displacements are equal. Then \(t_{2}-t_{1}\) is (take, \(g=10 \mathbf{m s}^{-2}\) )

1 \(1 \mathrm{~s}\)
2 \(1.5 \mathrm{~s}\)
3 \(2 \mathrm{~s}\)
4 \(3 \mathrm{~s}\)
Motion in One Dimensions

141845 A ball is thrown upwards with a speed \(u\) from a height \(h\) above the gound. The time taken by the ball to hit the ground is

1 \(\sqrt{2 \mathrm{~h} / \mathrm{g}}\)
2 \(\sqrt{8 \mathrm{~h} / \mathrm{g}}\)
3 \(\frac{\sqrt{\mathrm{u}^{2} / 2 \mathrm{gh}}}{\mathrm{g}}\)
4 \(\frac{u}{g}+\sqrt{\frac{2 h}{g}}\)
Motion in One Dimensions

141842 A girl throws a stone horizontally from the roof of a house \(12 \mathrm{~m}\) above the ground with a speed of \(15 \mathrm{~m} / \mathrm{s}\). Neglecting air resistance the time it takes for the stone to reach the ground is

1 \(1.55 \mathrm{sec}\)
2 \(3.1 \mathrm{sec}\)
3 \(2.34 \mathrm{sec}\)
4 \(4.10 \mathrm{sec}\)
Motion in One Dimensions

141843 A man of height \(7.33 \mathrm{ft}\) releases a stone from the slingshot just above his head. If the stone travels in a vertical direction towards the sky with velocity of \(10 \mathrm{~ms}^{-1}\), then the time it takes to reach the ground is (Assume acceleration due to gravity \(g=10 \mathbf{m s}^{-2}\) )

1 \(1.6 \mathrm{~s}\)
2 \(1.8 \mathrm{~s}\)
3 \(2.0 \mathrm{~s}\)
4 \(2.2 \mathrm{~s}\)
Motion in One Dimensions

141844 A body is projected horizontally form the top of a tall tower with a velocity of \(30 \mathrm{~ms}^{-1}\). At time \(t_{1}\), its horizontal and vertical components of the velocity are equal and time \(t_{2}\), its horizontal and vertical displacements are equal. Then \(t_{2}-t_{1}\) is (take, \(g=10 \mathbf{m s}^{-2}\) )

1 \(1 \mathrm{~s}\)
2 \(1.5 \mathrm{~s}\)
3 \(2 \mathrm{~s}\)
4 \(3 \mathrm{~s}\)
Motion in One Dimensions

141845 A ball is thrown upwards with a speed \(u\) from a height \(h\) above the gound. The time taken by the ball to hit the ground is

1 \(\sqrt{2 \mathrm{~h} / \mathrm{g}}\)
2 \(\sqrt{8 \mathrm{~h} / \mathrm{g}}\)
3 \(\frac{\sqrt{\mathrm{u}^{2} / 2 \mathrm{gh}}}{\mathrm{g}}\)
4 \(\frac{u}{g}+\sqrt{\frac{2 h}{g}}\)