01. Speed, Velocity and Acceleration
Motion in One Dimensions

141504 A car moving with a velocity of \(20 \mathrm{~ms}^{-1}\) stopped at a distance of \(40 \mathrm{~m}\). If the same car is travelling at double the velocity, the distance travelled by it for same retardation is :

1 \(320 \mathrm{~m}\)
2 \(1280 \mathrm{~m}\)
3 \(160 \mathrm{~m}\)
4 \(640 \mathrm{~m}\)
Motion in One Dimensions

141506 The displacement \(x\) of a particle varies with time \(t\) as \(x=a e^{\alpha t}+b e^{-\beta t}\) where \(a, b, \alpha, \beta\) are positive constants. The velocity of the particle will

1 go on decreasing with time
2 be independent of \(\alpha\) and \(\beta\)
3 drop to zero when \(\alpha=\beta\)
4 go on increasing with time
Motion in One Dimensions

141509 Two object \(P\) and \(Q\), travelling in the same direction starts from rest. While the object \(P\) starts at time \(t=0\) and object \(Q\) starts later at \(t=30 \mathrm{~min}\). The object \(P\) has an acceleration of \(40 \mathrm{~km} / \mathrm{h}^{2}\). To catch \(P\) at a distance of \(20 \mathrm{Km}\), the acceleration of \(Q\) should be

1 \(40 \mathrm{~km} / \mathrm{h}^{2}\)
2 \(80 \mathrm{~km} / \mathrm{h}^{2}\)
3 \(100 \mathrm{~km} / \mathrm{h}^{2}\)
4 \(120 \mathrm{~km} / \mathrm{h}^{2}\)
5 \(160 \mathrm{~km} / \mathrm{h}^{2}\)
Motion in One Dimensions

141510 Two balls of equal masses are thrown upward along the same vertical direction at an interval of \(2 \mathrm{~s}\), with the same initial velocity of \(39.2 \mathrm{~m} / \mathrm{s}\). The two balls will collide at a height of

1 \(39.2 \mathrm{~m}\)
2 \(73.5 \mathrm{~m}\)
3 \(78.4 \mathrm{~m}\)
4 \(117.6 \mathrm{~m}\)
Motion in One Dimensions

141504 A car moving with a velocity of \(20 \mathrm{~ms}^{-1}\) stopped at a distance of \(40 \mathrm{~m}\). If the same car is travelling at double the velocity, the distance travelled by it for same retardation is :

1 \(320 \mathrm{~m}\)
2 \(1280 \mathrm{~m}\)
3 \(160 \mathrm{~m}\)
4 \(640 \mathrm{~m}\)
Motion in One Dimensions

141506 The displacement \(x\) of a particle varies with time \(t\) as \(x=a e^{\alpha t}+b e^{-\beta t}\) where \(a, b, \alpha, \beta\) are positive constants. The velocity of the particle will

1 go on decreasing with time
2 be independent of \(\alpha\) and \(\beta\)
3 drop to zero when \(\alpha=\beta\)
4 go on increasing with time
Motion in One Dimensions

141509 Two object \(P\) and \(Q\), travelling in the same direction starts from rest. While the object \(P\) starts at time \(t=0\) and object \(Q\) starts later at \(t=30 \mathrm{~min}\). The object \(P\) has an acceleration of \(40 \mathrm{~km} / \mathrm{h}^{2}\). To catch \(P\) at a distance of \(20 \mathrm{Km}\), the acceleration of \(Q\) should be

1 \(40 \mathrm{~km} / \mathrm{h}^{2}\)
2 \(80 \mathrm{~km} / \mathrm{h}^{2}\)
3 \(100 \mathrm{~km} / \mathrm{h}^{2}\)
4 \(120 \mathrm{~km} / \mathrm{h}^{2}\)
5 \(160 \mathrm{~km} / \mathrm{h}^{2}\)
Motion in One Dimensions

141510 Two balls of equal masses are thrown upward along the same vertical direction at an interval of \(2 \mathrm{~s}\), with the same initial velocity of \(39.2 \mathrm{~m} / \mathrm{s}\). The two balls will collide at a height of

1 \(39.2 \mathrm{~m}\)
2 \(73.5 \mathrm{~m}\)
3 \(78.4 \mathrm{~m}\)
4 \(117.6 \mathrm{~m}\)
Motion in One Dimensions

141504 A car moving with a velocity of \(20 \mathrm{~ms}^{-1}\) stopped at a distance of \(40 \mathrm{~m}\). If the same car is travelling at double the velocity, the distance travelled by it for same retardation is :

1 \(320 \mathrm{~m}\)
2 \(1280 \mathrm{~m}\)
3 \(160 \mathrm{~m}\)
4 \(640 \mathrm{~m}\)
Motion in One Dimensions

141506 The displacement \(x\) of a particle varies with time \(t\) as \(x=a e^{\alpha t}+b e^{-\beta t}\) where \(a, b, \alpha, \beta\) are positive constants. The velocity of the particle will

1 go on decreasing with time
2 be independent of \(\alpha\) and \(\beta\)
3 drop to zero when \(\alpha=\beta\)
4 go on increasing with time
Motion in One Dimensions

141509 Two object \(P\) and \(Q\), travelling in the same direction starts from rest. While the object \(P\) starts at time \(t=0\) and object \(Q\) starts later at \(t=30 \mathrm{~min}\). The object \(P\) has an acceleration of \(40 \mathrm{~km} / \mathrm{h}^{2}\). To catch \(P\) at a distance of \(20 \mathrm{Km}\), the acceleration of \(Q\) should be

1 \(40 \mathrm{~km} / \mathrm{h}^{2}\)
2 \(80 \mathrm{~km} / \mathrm{h}^{2}\)
3 \(100 \mathrm{~km} / \mathrm{h}^{2}\)
4 \(120 \mathrm{~km} / \mathrm{h}^{2}\)
5 \(160 \mathrm{~km} / \mathrm{h}^{2}\)
Motion in One Dimensions

141510 Two balls of equal masses are thrown upward along the same vertical direction at an interval of \(2 \mathrm{~s}\), with the same initial velocity of \(39.2 \mathrm{~m} / \mathrm{s}\). The two balls will collide at a height of

1 \(39.2 \mathrm{~m}\)
2 \(73.5 \mathrm{~m}\)
3 \(78.4 \mathrm{~m}\)
4 \(117.6 \mathrm{~m}\)
Motion in One Dimensions

141504 A car moving with a velocity of \(20 \mathrm{~ms}^{-1}\) stopped at a distance of \(40 \mathrm{~m}\). If the same car is travelling at double the velocity, the distance travelled by it for same retardation is :

1 \(320 \mathrm{~m}\)
2 \(1280 \mathrm{~m}\)
3 \(160 \mathrm{~m}\)
4 \(640 \mathrm{~m}\)
Motion in One Dimensions

141506 The displacement \(x\) of a particle varies with time \(t\) as \(x=a e^{\alpha t}+b e^{-\beta t}\) where \(a, b, \alpha, \beta\) are positive constants. The velocity of the particle will

1 go on decreasing with time
2 be independent of \(\alpha\) and \(\beta\)
3 drop to zero when \(\alpha=\beta\)
4 go on increasing with time
Motion in One Dimensions

141509 Two object \(P\) and \(Q\), travelling in the same direction starts from rest. While the object \(P\) starts at time \(t=0\) and object \(Q\) starts later at \(t=30 \mathrm{~min}\). The object \(P\) has an acceleration of \(40 \mathrm{~km} / \mathrm{h}^{2}\). To catch \(P\) at a distance of \(20 \mathrm{Km}\), the acceleration of \(Q\) should be

1 \(40 \mathrm{~km} / \mathrm{h}^{2}\)
2 \(80 \mathrm{~km} / \mathrm{h}^{2}\)
3 \(100 \mathrm{~km} / \mathrm{h}^{2}\)
4 \(120 \mathrm{~km} / \mathrm{h}^{2}\)
5 \(160 \mathrm{~km} / \mathrm{h}^{2}\)
Motion in One Dimensions

141510 Two balls of equal masses are thrown upward along the same vertical direction at an interval of \(2 \mathrm{~s}\), with the same initial velocity of \(39.2 \mathrm{~m} / \mathrm{s}\). The two balls will collide at a height of

1 \(39.2 \mathrm{~m}\)
2 \(73.5 \mathrm{~m}\)
3 \(78.4 \mathrm{~m}\)
4 \(117.6 \mathrm{~m}\)
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