03. Equation of Motion
Motion in One Dimensions

141750 A man runs at a speed of \(4 \mathrm{~m} / \mathrm{s}\) to overtake a standing bus. When he is \(6 \mathrm{~m}\) behind the door at \(\mathrm{t}=0\), the bus moves forward and continuous with a constant acceleration of \(1.2 \mathrm{~m} / \mathrm{s}^{2}\). The man reaches the door in time \(t\). Then,

1 \(4 \mathrm{t}=6+0.6 \mathrm{t}^{2}\)
2 \(1.2 \mathrm{t}^{2}=4 \mathrm{t}\)
3 \(4 \mathrm{t}^{2}=1.2 \mathrm{t}\)
4 \(6+4 t=0.2 t^{2}\)
Motion in One Dimensions

141751 A body starts from rest from the origin with an acceleration of \(6 \mathrm{~m} / \mathrm{s}^{2}\) along the \(X\)-axis and 8 \(\mathrm{m} / \mathrm{s}^{2}\) along the \(\mathrm{Y}\) - axis. Its distance from the origin after \(4 \mathrm{~s}\) will be

1 \(56 \mathrm{~m}\)
2 \(64 \mathrm{~m}\)
3 \(80 \mathrm{~m}\)
4 \(128 \mathrm{~m}\)
Motion in One Dimensions

141752 A bullet comes out of the barrel of gun of length \(2 \mathrm{~m}\) with a speed \(80 \mathrm{~m} / \mathrm{s}\). The average acceleration of the bullet is

1 \(1.6 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(160 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1600 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(16 \mathrm{~m} / \mathrm{s}^{2}\)
Motion in One Dimensions

141753 A ball rolls off the top of stairway with a horizontal velocity of magnitude \(1.8 \mathrm{~m} / \mathrm{s}\). The steps are \(0.20 \mathrm{~m}\) high and \(0.20 \mathrm{~m}\) width. Which step will the ball hit first?

1 First
2 Second
3 Third
4 Fourth
Motion in One Dimensions

141750 A man runs at a speed of \(4 \mathrm{~m} / \mathrm{s}\) to overtake a standing bus. When he is \(6 \mathrm{~m}\) behind the door at \(\mathrm{t}=0\), the bus moves forward and continuous with a constant acceleration of \(1.2 \mathrm{~m} / \mathrm{s}^{2}\). The man reaches the door in time \(t\). Then,

1 \(4 \mathrm{t}=6+0.6 \mathrm{t}^{2}\)
2 \(1.2 \mathrm{t}^{2}=4 \mathrm{t}\)
3 \(4 \mathrm{t}^{2}=1.2 \mathrm{t}\)
4 \(6+4 t=0.2 t^{2}\)
Motion in One Dimensions

141751 A body starts from rest from the origin with an acceleration of \(6 \mathrm{~m} / \mathrm{s}^{2}\) along the \(X\)-axis and 8 \(\mathrm{m} / \mathrm{s}^{2}\) along the \(\mathrm{Y}\) - axis. Its distance from the origin after \(4 \mathrm{~s}\) will be

1 \(56 \mathrm{~m}\)
2 \(64 \mathrm{~m}\)
3 \(80 \mathrm{~m}\)
4 \(128 \mathrm{~m}\)
Motion in One Dimensions

141752 A bullet comes out of the barrel of gun of length \(2 \mathrm{~m}\) with a speed \(80 \mathrm{~m} / \mathrm{s}\). The average acceleration of the bullet is

1 \(1.6 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(160 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1600 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(16 \mathrm{~m} / \mathrm{s}^{2}\)
Motion in One Dimensions

141753 A ball rolls off the top of stairway with a horizontal velocity of magnitude \(1.8 \mathrm{~m} / \mathrm{s}\). The steps are \(0.20 \mathrm{~m}\) high and \(0.20 \mathrm{~m}\) width. Which step will the ball hit first?

1 First
2 Second
3 Third
4 Fourth
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Motion in One Dimensions

141750 A man runs at a speed of \(4 \mathrm{~m} / \mathrm{s}\) to overtake a standing bus. When he is \(6 \mathrm{~m}\) behind the door at \(\mathrm{t}=0\), the bus moves forward and continuous with a constant acceleration of \(1.2 \mathrm{~m} / \mathrm{s}^{2}\). The man reaches the door in time \(t\). Then,

1 \(4 \mathrm{t}=6+0.6 \mathrm{t}^{2}\)
2 \(1.2 \mathrm{t}^{2}=4 \mathrm{t}\)
3 \(4 \mathrm{t}^{2}=1.2 \mathrm{t}\)
4 \(6+4 t=0.2 t^{2}\)
Motion in One Dimensions

141751 A body starts from rest from the origin with an acceleration of \(6 \mathrm{~m} / \mathrm{s}^{2}\) along the \(X\)-axis and 8 \(\mathrm{m} / \mathrm{s}^{2}\) along the \(\mathrm{Y}\) - axis. Its distance from the origin after \(4 \mathrm{~s}\) will be

1 \(56 \mathrm{~m}\)
2 \(64 \mathrm{~m}\)
3 \(80 \mathrm{~m}\)
4 \(128 \mathrm{~m}\)
Motion in One Dimensions

141752 A bullet comes out of the barrel of gun of length \(2 \mathrm{~m}\) with a speed \(80 \mathrm{~m} / \mathrm{s}\). The average acceleration of the bullet is

1 \(1.6 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(160 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1600 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(16 \mathrm{~m} / \mathrm{s}^{2}\)
Motion in One Dimensions

141753 A ball rolls off the top of stairway with a horizontal velocity of magnitude \(1.8 \mathrm{~m} / \mathrm{s}\). The steps are \(0.20 \mathrm{~m}\) high and \(0.20 \mathrm{~m}\) width. Which step will the ball hit first?

1 First
2 Second
3 Third
4 Fourth
Motion in One Dimensions

141750 A man runs at a speed of \(4 \mathrm{~m} / \mathrm{s}\) to overtake a standing bus. When he is \(6 \mathrm{~m}\) behind the door at \(\mathrm{t}=0\), the bus moves forward and continuous with a constant acceleration of \(1.2 \mathrm{~m} / \mathrm{s}^{2}\). The man reaches the door in time \(t\). Then,

1 \(4 \mathrm{t}=6+0.6 \mathrm{t}^{2}\)
2 \(1.2 \mathrm{t}^{2}=4 \mathrm{t}\)
3 \(4 \mathrm{t}^{2}=1.2 \mathrm{t}\)
4 \(6+4 t=0.2 t^{2}\)
Motion in One Dimensions

141751 A body starts from rest from the origin with an acceleration of \(6 \mathrm{~m} / \mathrm{s}^{2}\) along the \(X\)-axis and 8 \(\mathrm{m} / \mathrm{s}^{2}\) along the \(\mathrm{Y}\) - axis. Its distance from the origin after \(4 \mathrm{~s}\) will be

1 \(56 \mathrm{~m}\)
2 \(64 \mathrm{~m}\)
3 \(80 \mathrm{~m}\)
4 \(128 \mathrm{~m}\)
Motion in One Dimensions

141752 A bullet comes out of the barrel of gun of length \(2 \mathrm{~m}\) with a speed \(80 \mathrm{~m} / \mathrm{s}\). The average acceleration of the bullet is

1 \(1.6 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(160 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(1600 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(16 \mathrm{~m} / \mathrm{s}^{2}\)
Motion in One Dimensions

141753 A ball rolls off the top of stairway with a horizontal velocity of magnitude \(1.8 \mathrm{~m} / \mathrm{s}\). The steps are \(0.20 \mathrm{~m}\) high and \(0.20 \mathrm{~m}\) width. Which step will the ball hit first?

1 First
2 Second
3 Third
4 Fourth