00. Distance and Displacement
Motion in One Dimensions

141344 The position of a particle moving along \(x\)-axis is given by \(x=3 t-4 t^{2}+t^{3}\), Where \(x\) is in meter and \(t\) in seconds. The average velocity of the particle in the time interval from \(t=2\) seconds to \(t=4\) seconds is

1 \(7 \mathrm{~m} / \mathrm{s}\)
2 \(1 \mathrm{~m} / \mathrm{s}\)
3 \(13 \mathrm{~m} / \mathrm{s}\)
4 None of these
Motion in One Dimensions

141346 A particle starts from rest. Its acceleration (a) versus time ( \(t\) ) is as shown in the figure. The maximum speed of the particle will be
original image

1 \(110 \mathrm{~m} / \mathrm{s}\)
2 \(45 \mathrm{~m} / \mathrm{s}\)
3 \(900 \mathrm{~m} / \mathrm{s}\)
4 \(90 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141347 A car is moving along a straight road with a uniform acceleration. It passes through two points \(P\) and \(Q\) separated by a distance with velocity \(30 \mathrm{~km} / \mathrm{h}\) and \(40 \mathrm{~km} / \mathrm{h}\) respectively. The velocity of the car midway between \(P\) and \(Q\) is

1 \(33.3 \mathrm{~km} / \mathrm{h}\)
2 \(20 \sqrt{2} \mathrm{~km} / \mathrm{h}\)
3 \(25 \sqrt{2} \mathrm{~km} / \mathrm{h}\)
4 \(0.35 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141343 The velocity time graphs of two bodies \(A\) and \(B\) are shown in figure. The ratio of their acceleration is
original image

1 \(1: \sqrt{3}\)
2 \(1: 3\)
3 \(\sqrt{3}: 1\)
4 \(\sqrt{3}: \sqrt{2}\)
Motion in One Dimensions

141344 The position of a particle moving along \(x\)-axis is given by \(x=3 t-4 t^{2}+t^{3}\), Where \(x\) is in meter and \(t\) in seconds. The average velocity of the particle in the time interval from \(t=2\) seconds to \(t=4\) seconds is

1 \(7 \mathrm{~m} / \mathrm{s}\)
2 \(1 \mathrm{~m} / \mathrm{s}\)
3 \(13 \mathrm{~m} / \mathrm{s}\)
4 None of these
Motion in One Dimensions

141346 A particle starts from rest. Its acceleration (a) versus time ( \(t\) ) is as shown in the figure. The maximum speed of the particle will be
original image

1 \(110 \mathrm{~m} / \mathrm{s}\)
2 \(45 \mathrm{~m} / \mathrm{s}\)
3 \(900 \mathrm{~m} / \mathrm{s}\)
4 \(90 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141347 A car is moving along a straight road with a uniform acceleration. It passes through two points \(P\) and \(Q\) separated by a distance with velocity \(30 \mathrm{~km} / \mathrm{h}\) and \(40 \mathrm{~km} / \mathrm{h}\) respectively. The velocity of the car midway between \(P\) and \(Q\) is

1 \(33.3 \mathrm{~km} / \mathrm{h}\)
2 \(20 \sqrt{2} \mathrm{~km} / \mathrm{h}\)
3 \(25 \sqrt{2} \mathrm{~km} / \mathrm{h}\)
4 \(0.35 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141343 The velocity time graphs of two bodies \(A\) and \(B\) are shown in figure. The ratio of their acceleration is
original image

1 \(1: \sqrt{3}\)
2 \(1: 3\)
3 \(\sqrt{3}: 1\)
4 \(\sqrt{3}: \sqrt{2}\)
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Motion in One Dimensions

141344 The position of a particle moving along \(x\)-axis is given by \(x=3 t-4 t^{2}+t^{3}\), Where \(x\) is in meter and \(t\) in seconds. The average velocity of the particle in the time interval from \(t=2\) seconds to \(t=4\) seconds is

1 \(7 \mathrm{~m} / \mathrm{s}\)
2 \(1 \mathrm{~m} / \mathrm{s}\)
3 \(13 \mathrm{~m} / \mathrm{s}\)
4 None of these
Motion in One Dimensions

141346 A particle starts from rest. Its acceleration (a) versus time ( \(t\) ) is as shown in the figure. The maximum speed of the particle will be
original image

1 \(110 \mathrm{~m} / \mathrm{s}\)
2 \(45 \mathrm{~m} / \mathrm{s}\)
3 \(900 \mathrm{~m} / \mathrm{s}\)
4 \(90 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141347 A car is moving along a straight road with a uniform acceleration. It passes through two points \(P\) and \(Q\) separated by a distance with velocity \(30 \mathrm{~km} / \mathrm{h}\) and \(40 \mathrm{~km} / \mathrm{h}\) respectively. The velocity of the car midway between \(P\) and \(Q\) is

1 \(33.3 \mathrm{~km} / \mathrm{h}\)
2 \(20 \sqrt{2} \mathrm{~km} / \mathrm{h}\)
3 \(25 \sqrt{2} \mathrm{~km} / \mathrm{h}\)
4 \(0.35 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141343 The velocity time graphs of two bodies \(A\) and \(B\) are shown in figure. The ratio of their acceleration is
original image

1 \(1: \sqrt{3}\)
2 \(1: 3\)
3 \(\sqrt{3}: 1\)
4 \(\sqrt{3}: \sqrt{2}\)
Motion in One Dimensions

141344 The position of a particle moving along \(x\)-axis is given by \(x=3 t-4 t^{2}+t^{3}\), Where \(x\) is in meter and \(t\) in seconds. The average velocity of the particle in the time interval from \(t=2\) seconds to \(t=4\) seconds is

1 \(7 \mathrm{~m} / \mathrm{s}\)
2 \(1 \mathrm{~m} / \mathrm{s}\)
3 \(13 \mathrm{~m} / \mathrm{s}\)
4 None of these
Motion in One Dimensions

141346 A particle starts from rest. Its acceleration (a) versus time ( \(t\) ) is as shown in the figure. The maximum speed of the particle will be
original image

1 \(110 \mathrm{~m} / \mathrm{s}\)
2 \(45 \mathrm{~m} / \mathrm{s}\)
3 \(900 \mathrm{~m} / \mathrm{s}\)
4 \(90 \mathrm{~m} / \mathrm{s}\)
Motion in One Dimensions

141347 A car is moving along a straight road with a uniform acceleration. It passes through two points \(P\) and \(Q\) separated by a distance with velocity \(30 \mathrm{~km} / \mathrm{h}\) and \(40 \mathrm{~km} / \mathrm{h}\) respectively. The velocity of the car midway between \(P\) and \(Q\) is

1 \(33.3 \mathrm{~km} / \mathrm{h}\)
2 \(20 \sqrt{2} \mathrm{~km} / \mathrm{h}\)
3 \(25 \sqrt{2} \mathrm{~km} / \mathrm{h}\)
4 \(0.35 \mathrm{~km} / \mathrm{h}\)
Motion in One Dimensions

141343 The velocity time graphs of two bodies \(A\) and \(B\) are shown in figure. The ratio of their acceleration is
original image

1 \(1: \sqrt{3}\)
2 \(1: 3\)
3 \(\sqrt{3}: 1\)
4 \(\sqrt{3}: \sqrt{2}\)