00. Distance and Displacement
Motion in One Dimensions

141306 The distance \(x\) (in \(\mu \mathrm{m}\) ) covered by a molecule starting from point \(A\) at time \(t=0\) and stopping at another point \(B\) is given by the equation
\(\mathbf{x}=\mathbf{t}^{2}\left(\mathbf{2}-\frac{\mathbf{t}}{\mathbf{3}}\right)\)
The distance between \(A\) and \(B\) (in \(\mu \mathrm{m}\) ) is closed to

1 10.7
2 20.7
3 40.7
4 50.7
Motion in One Dimensions

141307 An athlete completes one round of a circular track of radius \(R\) in \(40 \mathrm{~s}\). What will be his displacement at the end of \(2 \mathrm{~min} 20 \mathrm{~s}\) ?

1 \(7 \mathrm{R}\)
2 \(2 \mathrm{R}\)
3 \(2 \pi \mathrm{R}\)
4 \(7 \pi \mathrm{R}\)
Motion in One Dimensions

141308 A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again by 5 steps forward and 3 steps backward and so on. Each step is \(1 \mathrm{~m}\) long and requires 1 s. Determine how long the drunkard takes to fall in a pit \(13 \mathrm{~m}\) away from the starting point.

1 \(37 \mathrm{~s}\)
2 \(13 \mathrm{~s}\)
3 \(49 \mathrm{~s}\)
4 \(18 \mathrm{~s}\)
Motion in One Dimensions

141309 By what velocity a ball be projected vertically upwards so that the distance covered in \(5^{\text {th }}\) second is twice of that covered in \(6^{\text {th }}\) second?

1 \(19.6 \mathrm{~m} / \mathrm{s}\)
2 \(58.8 \mathrm{~m} / \mathrm{s}\)
3 \(49 \mathrm{~m} / \mathrm{s}\)
4 \(65 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141306 The distance \(x\) (in \(\mu \mathrm{m}\) ) covered by a molecule starting from point \(A\) at time \(t=0\) and stopping at another point \(B\) is given by the equation
\(\mathbf{x}=\mathbf{t}^{2}\left(\mathbf{2}-\frac{\mathbf{t}}{\mathbf{3}}\right)\)
The distance between \(A\) and \(B\) (in \(\mu \mathrm{m}\) ) is closed to

1 10.7
2 20.7
3 40.7
4 50.7
Motion in One Dimensions

141307 An athlete completes one round of a circular track of radius \(R\) in \(40 \mathrm{~s}\). What will be his displacement at the end of \(2 \mathrm{~min} 20 \mathrm{~s}\) ?

1 \(7 \mathrm{R}\)
2 \(2 \mathrm{R}\)
3 \(2 \pi \mathrm{R}\)
4 \(7 \pi \mathrm{R}\)
Motion in One Dimensions

141308 A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again by 5 steps forward and 3 steps backward and so on. Each step is \(1 \mathrm{~m}\) long and requires 1 s. Determine how long the drunkard takes to fall in a pit \(13 \mathrm{~m}\) away from the starting point.

1 \(37 \mathrm{~s}\)
2 \(13 \mathrm{~s}\)
3 \(49 \mathrm{~s}\)
4 \(18 \mathrm{~s}\)
Motion in One Dimensions

141309 By what velocity a ball be projected vertically upwards so that the distance covered in \(5^{\text {th }}\) second is twice of that covered in \(6^{\text {th }}\) second?

1 \(19.6 \mathrm{~m} / \mathrm{s}\)
2 \(58.8 \mathrm{~m} / \mathrm{s}\)
3 \(49 \mathrm{~m} / \mathrm{s}\)
4 \(65 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141306 The distance \(x\) (in \(\mu \mathrm{m}\) ) covered by a molecule starting from point \(A\) at time \(t=0\) and stopping at another point \(B\) is given by the equation
\(\mathbf{x}=\mathbf{t}^{2}\left(\mathbf{2}-\frac{\mathbf{t}}{\mathbf{3}}\right)\)
The distance between \(A\) and \(B\) (in \(\mu \mathrm{m}\) ) is closed to

1 10.7
2 20.7
3 40.7
4 50.7
Motion in One Dimensions

141307 An athlete completes one round of a circular track of radius \(R\) in \(40 \mathrm{~s}\). What will be his displacement at the end of \(2 \mathrm{~min} 20 \mathrm{~s}\) ?

1 \(7 \mathrm{R}\)
2 \(2 \mathrm{R}\)
3 \(2 \pi \mathrm{R}\)
4 \(7 \pi \mathrm{R}\)
Motion in One Dimensions

141308 A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again by 5 steps forward and 3 steps backward and so on. Each step is \(1 \mathrm{~m}\) long and requires 1 s. Determine how long the drunkard takes to fall in a pit \(13 \mathrm{~m}\) away from the starting point.

1 \(37 \mathrm{~s}\)
2 \(13 \mathrm{~s}\)
3 \(49 \mathrm{~s}\)
4 \(18 \mathrm{~s}\)
Motion in One Dimensions

141309 By what velocity a ball be projected vertically upwards so that the distance covered in \(5^{\text {th }}\) second is twice of that covered in \(6^{\text {th }}\) second?

1 \(19.6 \mathrm{~m} / \mathrm{s}\)
2 \(58.8 \mathrm{~m} / \mathrm{s}\)
3 \(49 \mathrm{~m} / \mathrm{s}\)
4 \(65 \mathrm{~m} / \mathrm{s}\)
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Motion in One Dimensions

141306 The distance \(x\) (in \(\mu \mathrm{m}\) ) covered by a molecule starting from point \(A\) at time \(t=0\) and stopping at another point \(B\) is given by the equation
\(\mathbf{x}=\mathbf{t}^{2}\left(\mathbf{2}-\frac{\mathbf{t}}{\mathbf{3}}\right)\)
The distance between \(A\) and \(B\) (in \(\mu \mathrm{m}\) ) is closed to

1 10.7
2 20.7
3 40.7
4 50.7
Motion in One Dimensions

141307 An athlete completes one round of a circular track of radius \(R\) in \(40 \mathrm{~s}\). What will be his displacement at the end of \(2 \mathrm{~min} 20 \mathrm{~s}\) ?

1 \(7 \mathrm{R}\)
2 \(2 \mathrm{R}\)
3 \(2 \pi \mathrm{R}\)
4 \(7 \pi \mathrm{R}\)
Motion in One Dimensions

141308 A drunkard walking in a narrow lane takes 5 steps forward and 3 steps backward, followed again by 5 steps forward and 3 steps backward and so on. Each step is \(1 \mathrm{~m}\) long and requires 1 s. Determine how long the drunkard takes to fall in a pit \(13 \mathrm{~m}\) away from the starting point.

1 \(37 \mathrm{~s}\)
2 \(13 \mathrm{~s}\)
3 \(49 \mathrm{~s}\)
4 \(18 \mathrm{~s}\)
Motion in One Dimensions

141309 By what velocity a ball be projected vertically upwards so that the distance covered in \(5^{\text {th }}\) second is twice of that covered in \(6^{\text {th }}\) second?

1 \(19.6 \mathrm{~m} / \mathrm{s}\)
2 \(58.8 \mathrm{~m} / \mathrm{s}\)
3 \(49 \mathrm{~m} / \mathrm{s}\)
4 \(65 \mathrm{~m} / \mathrm{s}\)