01. Speed, Velocity and Acceleration
Motion in One Dimensions

141500 If a boat moves perpendicular to the bank of a river from a point \(A\), it reaches a point \(C\) which is at \(120 \mathrm{~m}\) down the stream form a point \(B\) on the opposite bank in 10 minutes as shown in the figure. If the boat moves with the same velocity at an angle \(\alpha\) along \(\mathrm{AD}\) unstream it reaches the point \(B\) in 12.5 minutes. The width of the river and the angle \(\alpha\) respectively are (Line \(A B\) is perpendicular to the banks of the river).
original image

1 \(100 \mathrm{~m}, \sin ^{-1}(0.8)\)
2 \(200 \mathrm{~m}, \cos ^{-1}(0.8)\)
3 \(300 \mathrm{~m}, \tan ^{-1}(0.6)\)
4 \(300 \mathrm{~m}, \cos ^{-1}(0.6)\)
Motion in One Dimensions

141501 Two trains \(P\) and \(Q\) each of length \(400 \mathrm{~m}\) are moving along parallel tracks, in the same direction with a same uniform speed of \(20 \mathrm{~ms}^{-1}\). Driver of train decides to overtake train \(Q\) and decelerates his train by \(1 \mathrm{~ms}^{-2}\). If the train \(P\) crosses the train \(Q\) in \(50 \mathrm{~s}\), then the initial distance between the two trains was

1 \(450 \mathrm{~m}\)
2 \(800 \mathrm{~m}\)
3 \(540 \mathrm{~m}\)
4 \(425 \mathrm{~m}\)
Motion in One Dimensions

141502 The speed of a car travelling on a straight road is listed below at successive intervals of \(1 \mathrm{~s}\)
\(\begin{array}{llllll}\text { Time }(\mathrm{s}) & \mathbf{0} & \mathbf{1} & \mathbf{2} & \mathbf{3} & \mathbf{4} \\ \text { Speed }(\mathrm{m} / \mathrm{s}) & \mathbf{0} & \mathbf{2} & \mathbf{4} & \mathbf{6} & \mathbf{8}\end{array}\)
Which of the following is/are correct.
The car travels
1.with a uniform acceleration of \(2 \mathrm{~m} / \mathrm{s}^{2}\)
2.\(16 \mathrm{~m}\) in \(4 \mathrm{~s}\).
3.with an average speed of \(4 \mathrm{~m} / \mathrm{s}\).
Select the correct answer using the code given below:

1 1,2 and 3
2 2 and 3 only
3 1 and 2 only
4 1 only
Motion in One Dimensions

141503 A body of mass \(10 \mathrm{~kg}\) is being acted upon by a force of \(3 \mathrm{t}^{2} \mathrm{~N}\) and an opposing constant force of \(30 \mathrm{~N}\). The initial speed is \(10 \mathrm{~ms}^{-1}\). The velocity of the body after 5 seconds is

1 \(12.5 \mathrm{~ms}^{-1}\)
2 \(7.5 \mathrm{~ms}^{-1}\)
3 \(5 \mathrm{~ms}^{-1}\)
4 \(2.5 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141500 If a boat moves perpendicular to the bank of a river from a point \(A\), it reaches a point \(C\) which is at \(120 \mathrm{~m}\) down the stream form a point \(B\) on the opposite bank in 10 minutes as shown in the figure. If the boat moves with the same velocity at an angle \(\alpha\) along \(\mathrm{AD}\) unstream it reaches the point \(B\) in 12.5 minutes. The width of the river and the angle \(\alpha\) respectively are (Line \(A B\) is perpendicular to the banks of the river).
original image

1 \(100 \mathrm{~m}, \sin ^{-1}(0.8)\)
2 \(200 \mathrm{~m}, \cos ^{-1}(0.8)\)
3 \(300 \mathrm{~m}, \tan ^{-1}(0.6)\)
4 \(300 \mathrm{~m}, \cos ^{-1}(0.6)\)
Motion in One Dimensions

141501 Two trains \(P\) and \(Q\) each of length \(400 \mathrm{~m}\) are moving along parallel tracks, in the same direction with a same uniform speed of \(20 \mathrm{~ms}^{-1}\). Driver of train decides to overtake train \(Q\) and decelerates his train by \(1 \mathrm{~ms}^{-2}\). If the train \(P\) crosses the train \(Q\) in \(50 \mathrm{~s}\), then the initial distance between the two trains was

1 \(450 \mathrm{~m}\)
2 \(800 \mathrm{~m}\)
3 \(540 \mathrm{~m}\)
4 \(425 \mathrm{~m}\)
Motion in One Dimensions

141502 The speed of a car travelling on a straight road is listed below at successive intervals of \(1 \mathrm{~s}\)
\(\begin{array}{llllll}\text { Time }(\mathrm{s}) & \mathbf{0} & \mathbf{1} & \mathbf{2} & \mathbf{3} & \mathbf{4} \\ \text { Speed }(\mathrm{m} / \mathrm{s}) & \mathbf{0} & \mathbf{2} & \mathbf{4} & \mathbf{6} & \mathbf{8}\end{array}\)
Which of the following is/are correct.
The car travels
1.with a uniform acceleration of \(2 \mathrm{~m} / \mathrm{s}^{2}\)
2.\(16 \mathrm{~m}\) in \(4 \mathrm{~s}\).
3.with an average speed of \(4 \mathrm{~m} / \mathrm{s}\).
Select the correct answer using the code given below:

1 1,2 and 3
2 2 and 3 only
3 1 and 2 only
4 1 only
Motion in One Dimensions

141503 A body of mass \(10 \mathrm{~kg}\) is being acted upon by a force of \(3 \mathrm{t}^{2} \mathrm{~N}\) and an opposing constant force of \(30 \mathrm{~N}\). The initial speed is \(10 \mathrm{~ms}^{-1}\). The velocity of the body after 5 seconds is

1 \(12.5 \mathrm{~ms}^{-1}\)
2 \(7.5 \mathrm{~ms}^{-1}\)
3 \(5 \mathrm{~ms}^{-1}\)
4 \(2.5 \mathrm{~ms}^{-1}\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Motion in One Dimensions

141500 If a boat moves perpendicular to the bank of a river from a point \(A\), it reaches a point \(C\) which is at \(120 \mathrm{~m}\) down the stream form a point \(B\) on the opposite bank in 10 minutes as shown in the figure. If the boat moves with the same velocity at an angle \(\alpha\) along \(\mathrm{AD}\) unstream it reaches the point \(B\) in 12.5 minutes. The width of the river and the angle \(\alpha\) respectively are (Line \(A B\) is perpendicular to the banks of the river).
original image

1 \(100 \mathrm{~m}, \sin ^{-1}(0.8)\)
2 \(200 \mathrm{~m}, \cos ^{-1}(0.8)\)
3 \(300 \mathrm{~m}, \tan ^{-1}(0.6)\)
4 \(300 \mathrm{~m}, \cos ^{-1}(0.6)\)
Motion in One Dimensions

141501 Two trains \(P\) and \(Q\) each of length \(400 \mathrm{~m}\) are moving along parallel tracks, in the same direction with a same uniform speed of \(20 \mathrm{~ms}^{-1}\). Driver of train decides to overtake train \(Q\) and decelerates his train by \(1 \mathrm{~ms}^{-2}\). If the train \(P\) crosses the train \(Q\) in \(50 \mathrm{~s}\), then the initial distance between the two trains was

1 \(450 \mathrm{~m}\)
2 \(800 \mathrm{~m}\)
3 \(540 \mathrm{~m}\)
4 \(425 \mathrm{~m}\)
Motion in One Dimensions

141502 The speed of a car travelling on a straight road is listed below at successive intervals of \(1 \mathrm{~s}\)
\(\begin{array}{llllll}\text { Time }(\mathrm{s}) & \mathbf{0} & \mathbf{1} & \mathbf{2} & \mathbf{3} & \mathbf{4} \\ \text { Speed }(\mathrm{m} / \mathrm{s}) & \mathbf{0} & \mathbf{2} & \mathbf{4} & \mathbf{6} & \mathbf{8}\end{array}\)
Which of the following is/are correct.
The car travels
1.with a uniform acceleration of \(2 \mathrm{~m} / \mathrm{s}^{2}\)
2.\(16 \mathrm{~m}\) in \(4 \mathrm{~s}\).
3.with an average speed of \(4 \mathrm{~m} / \mathrm{s}\).
Select the correct answer using the code given below:

1 1,2 and 3
2 2 and 3 only
3 1 and 2 only
4 1 only
Motion in One Dimensions

141503 A body of mass \(10 \mathrm{~kg}\) is being acted upon by a force of \(3 \mathrm{t}^{2} \mathrm{~N}\) and an opposing constant force of \(30 \mathrm{~N}\). The initial speed is \(10 \mathrm{~ms}^{-1}\). The velocity of the body after 5 seconds is

1 \(12.5 \mathrm{~ms}^{-1}\)
2 \(7.5 \mathrm{~ms}^{-1}\)
3 \(5 \mathrm{~ms}^{-1}\)
4 \(2.5 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141500 If a boat moves perpendicular to the bank of a river from a point \(A\), it reaches a point \(C\) which is at \(120 \mathrm{~m}\) down the stream form a point \(B\) on the opposite bank in 10 minutes as shown in the figure. If the boat moves with the same velocity at an angle \(\alpha\) along \(\mathrm{AD}\) unstream it reaches the point \(B\) in 12.5 minutes. The width of the river and the angle \(\alpha\) respectively are (Line \(A B\) is perpendicular to the banks of the river).
original image

1 \(100 \mathrm{~m}, \sin ^{-1}(0.8)\)
2 \(200 \mathrm{~m}, \cos ^{-1}(0.8)\)
3 \(300 \mathrm{~m}, \tan ^{-1}(0.6)\)
4 \(300 \mathrm{~m}, \cos ^{-1}(0.6)\)
Motion in One Dimensions

141501 Two trains \(P\) and \(Q\) each of length \(400 \mathrm{~m}\) are moving along parallel tracks, in the same direction with a same uniform speed of \(20 \mathrm{~ms}^{-1}\). Driver of train decides to overtake train \(Q\) and decelerates his train by \(1 \mathrm{~ms}^{-2}\). If the train \(P\) crosses the train \(Q\) in \(50 \mathrm{~s}\), then the initial distance between the two trains was

1 \(450 \mathrm{~m}\)
2 \(800 \mathrm{~m}\)
3 \(540 \mathrm{~m}\)
4 \(425 \mathrm{~m}\)
Motion in One Dimensions

141502 The speed of a car travelling on a straight road is listed below at successive intervals of \(1 \mathrm{~s}\)
\(\begin{array}{llllll}\text { Time }(\mathrm{s}) & \mathbf{0} & \mathbf{1} & \mathbf{2} & \mathbf{3} & \mathbf{4} \\ \text { Speed }(\mathrm{m} / \mathrm{s}) & \mathbf{0} & \mathbf{2} & \mathbf{4} & \mathbf{6} & \mathbf{8}\end{array}\)
Which of the following is/are correct.
The car travels
1.with a uniform acceleration of \(2 \mathrm{~m} / \mathrm{s}^{2}\)
2.\(16 \mathrm{~m}\) in \(4 \mathrm{~s}\).
3.with an average speed of \(4 \mathrm{~m} / \mathrm{s}\).
Select the correct answer using the code given below:

1 1,2 and 3
2 2 and 3 only
3 1 and 2 only
4 1 only
Motion in One Dimensions

141503 A body of mass \(10 \mathrm{~kg}\) is being acted upon by a force of \(3 \mathrm{t}^{2} \mathrm{~N}\) and an opposing constant force of \(30 \mathrm{~N}\). The initial speed is \(10 \mathrm{~ms}^{-1}\). The velocity of the body after 5 seconds is

1 \(12.5 \mathrm{~ms}^{-1}\)
2 \(7.5 \mathrm{~ms}^{-1}\)
3 \(5 \mathrm{~ms}^{-1}\)
4 \(2.5 \mathrm{~ms}^{-1}\)