03. Equation of Motion
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Motion in One Dimensions

141705 A car starts from rest and accelerates at \(5 \mathrm{~m} / \mathrm{s}^{2}\). At \(=4 \mathrm{~s}\), a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at \(t=6 \mathrm{~s}\) ? (Take, \(g\) \(=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(20 \mathrm{~m} / \mathrm{s}, 5 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(20 \mathrm{~m} / \mathrm{s} 0\)
3 \(20 \sqrt{2} \mathrm{~m} / \mathrm{s}, 0\)
4 \(20 \sqrt{2} \mathrm{~m} / \mathrm{s}, 10 \mathrm{~m} / \mathrm{s}^{2}\)
Motion in One Dimensions

141706 A stone is dropped from the top of a building. When it crosses a point \(5 \mathrm{~m}\) below the top, another stone starts to fall from a point \(25 \mathrm{~m}\) below the top. Both stones reach the bottom of building simultaneously. The height of the building is

1 \(45 \mathrm{~m}\)
2 \(25 \mathrm{~m}\)
3 \(35 \mathrm{~m}\)
4 \(50 \mathrm{~m}\)
Motion in One Dimensions

141707 A hiker stands on the edge of a cliff \(490 \mathrm{~m}\) above the ground and throws a stone horizontally with and initial speed of \(15 \mathrm{~m}^{-1}\) The speed with which it hits the ground is

1 \(99 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
2 \(101 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(103 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
4 \(105 \mathrm{~m} . \mathrm{s}^{-1}\)
Motion in One Dimensions

141708 A body initially lying at a point \((3,7)\) starts moving with a constant acceleration of \(4 i\). Its position after 3 seconds is

1 \((3,7)\)
2 \((7,18)\)
3 \((7,3)\)
4 \((21,7)\)
Motion in One Dimensions

141705 A car starts from rest and accelerates at \(5 \mathrm{~m} / \mathrm{s}^{2}\). At \(=4 \mathrm{~s}\), a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at \(t=6 \mathrm{~s}\) ? (Take, \(g\) \(=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(20 \mathrm{~m} / \mathrm{s}, 5 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(20 \mathrm{~m} / \mathrm{s} 0\)
3 \(20 \sqrt{2} \mathrm{~m} / \mathrm{s}, 0\)
4 \(20 \sqrt{2} \mathrm{~m} / \mathrm{s}, 10 \mathrm{~m} / \mathrm{s}^{2}\)
Motion in One Dimensions

141706 A stone is dropped from the top of a building. When it crosses a point \(5 \mathrm{~m}\) below the top, another stone starts to fall from a point \(25 \mathrm{~m}\) below the top. Both stones reach the bottom of building simultaneously. The height of the building is

1 \(45 \mathrm{~m}\)
2 \(25 \mathrm{~m}\)
3 \(35 \mathrm{~m}\)
4 \(50 \mathrm{~m}\)
Motion in One Dimensions

141707 A hiker stands on the edge of a cliff \(490 \mathrm{~m}\) above the ground and throws a stone horizontally with and initial speed of \(15 \mathrm{~m}^{-1}\) The speed with which it hits the ground is

1 \(99 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
2 \(101 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(103 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
4 \(105 \mathrm{~m} . \mathrm{s}^{-1}\)
Motion in One Dimensions

141708 A body initially lying at a point \((3,7)\) starts moving with a constant acceleration of \(4 i\). Its position after 3 seconds is

1 \((3,7)\)
2 \((7,18)\)
3 \((7,3)\)
4 \((21,7)\)
Motion in One Dimensions

141705 A car starts from rest and accelerates at \(5 \mathrm{~m} / \mathrm{s}^{2}\). At \(=4 \mathrm{~s}\), a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at \(t=6 \mathrm{~s}\) ? (Take, \(g\) \(=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(20 \mathrm{~m} / \mathrm{s}, 5 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(20 \mathrm{~m} / \mathrm{s} 0\)
3 \(20 \sqrt{2} \mathrm{~m} / \mathrm{s}, 0\)
4 \(20 \sqrt{2} \mathrm{~m} / \mathrm{s}, 10 \mathrm{~m} / \mathrm{s}^{2}\)
Motion in One Dimensions

141706 A stone is dropped from the top of a building. When it crosses a point \(5 \mathrm{~m}\) below the top, another stone starts to fall from a point \(25 \mathrm{~m}\) below the top. Both stones reach the bottom of building simultaneously. The height of the building is

1 \(45 \mathrm{~m}\)
2 \(25 \mathrm{~m}\)
3 \(35 \mathrm{~m}\)
4 \(50 \mathrm{~m}\)
Motion in One Dimensions

141707 A hiker stands on the edge of a cliff \(490 \mathrm{~m}\) above the ground and throws a stone horizontally with and initial speed of \(15 \mathrm{~m}^{-1}\) The speed with which it hits the ground is

1 \(99 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
2 \(101 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(103 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
4 \(105 \mathrm{~m} . \mathrm{s}^{-1}\)
Motion in One Dimensions

141708 A body initially lying at a point \((3,7)\) starts moving with a constant acceleration of \(4 i\). Its position after 3 seconds is

1 \((3,7)\)
2 \((7,18)\)
3 \((7,3)\)
4 \((21,7)\)
Motion in One Dimensions

141705 A car starts from rest and accelerates at \(5 \mathrm{~m} / \mathrm{s}^{2}\). At \(=4 \mathrm{~s}\), a ball is dropped out of a window by a person sitting in the car. What is the velocity and acceleration of the ball at \(t=6 \mathrm{~s}\) ? (Take, \(g\) \(=10 \mathrm{~m} / \mathrm{s}^{2}\) )

1 \(20 \mathrm{~m} / \mathrm{s}, 5 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(20 \mathrm{~m} / \mathrm{s} 0\)
3 \(20 \sqrt{2} \mathrm{~m} / \mathrm{s}, 0\)
4 \(20 \sqrt{2} \mathrm{~m} / \mathrm{s}, 10 \mathrm{~m} / \mathrm{s}^{2}\)
Motion in One Dimensions

141706 A stone is dropped from the top of a building. When it crosses a point \(5 \mathrm{~m}\) below the top, another stone starts to fall from a point \(25 \mathrm{~m}\) below the top. Both stones reach the bottom of building simultaneously. The height of the building is

1 \(45 \mathrm{~m}\)
2 \(25 \mathrm{~m}\)
3 \(35 \mathrm{~m}\)
4 \(50 \mathrm{~m}\)
Motion in One Dimensions

141707 A hiker stands on the edge of a cliff \(490 \mathrm{~m}\) above the ground and throws a stone horizontally with and initial speed of \(15 \mathrm{~m}^{-1}\) The speed with which it hits the ground is

1 \(99 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
2 \(101 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
3 \(103 \mathrm{~m} \cdot \mathrm{s}^{-1}\)
4 \(105 \mathrm{~m} . \mathrm{s}^{-1}\)
Motion in One Dimensions

141708 A body initially lying at a point \((3,7)\) starts moving with a constant acceleration of \(4 i\). Its position after 3 seconds is

1 \((3,7)\)
2 \((7,18)\)
3 \((7,3)\)
4 \((21,7)\)