01. Speed, Velocity and Acceleration
Motion in One Dimensions

141448 A particle is moving along the circular path of radius ' \(r\) ' with velocity ' \(v\) '. The magnitude of average acceleration after half revolution is

1 \(\frac{3 v^{2}}{\pi r}\)
2 \(\frac{3 v^{2}}{2 \pi r}\)
3 \(\frac{2 v^{2}}{\pi r}\)
4 \(\frac{\mathrm{v}^{2}}{\pi \mathrm{r}}\)
Motion in One Dimensions

141449 A car starts from Bengaluru, goes \(50 \mathrm{~km}\) in a straight line towards south, immediately turns around and returns to Bengaluru. The time taken for this round trip is 2 hours. The magnitude of the average velocity of the car for this round trip

1 is 0 .
2 \(50 \mathrm{~km} / \mathrm{hr}\)
3 \(25 \mathrm{~km} / \mathrm{hr}\)
4 cannot be calculated without knowing acceleration
Motion in One Dimensions

141451 The magnitude of deceleration required for a body, moving at a speed of \(10 \mathrm{~m} / \mathrm{s}\) to come to a complete halt at a distance of \(100 \mathrm{~m}\) is

1 \(20 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(10 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(2 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(0.5 \mathrm{~m} / \mathrm{s}^{2}\)
5 \(1 \mathrm{~m} / \mathrm{s}^{2}\)
Motion in One Dimensions

141452 A \(5.0 \mathrm{~g}\) bullet moving at \(100 \mathrm{~m} / \mathrm{s}\) strikes a wooden block. Assuming that the bullet undergoes a uniform deceleration and stops after penetrating a distance of \(5 \mathrm{~cm}\). The time taken by the bullet to stop and the impulse on the block are respectively

1 \(4.5 \mathrm{~ms}\) and \(3.2 \mathrm{~N}-\mathrm{s}\)
2 \(3.5 \mathrm{~ms}\) and \(2.1 \mathrm{~N}-\mathrm{s}\)
3 \(2.7 \mathrm{~ms}\) and \(1.5 \mathrm{~N}-\mathrm{s}\)
4 \(1.0 \mathrm{~ms}\) and \(0.5 \mathrm{~N}-\mathrm{s}\)
Motion in One Dimensions

141448 A particle is moving along the circular path of radius ' \(r\) ' with velocity ' \(v\) '. The magnitude of average acceleration after half revolution is

1 \(\frac{3 v^{2}}{\pi r}\)
2 \(\frac{3 v^{2}}{2 \pi r}\)
3 \(\frac{2 v^{2}}{\pi r}\)
4 \(\frac{\mathrm{v}^{2}}{\pi \mathrm{r}}\)
Motion in One Dimensions

141449 A car starts from Bengaluru, goes \(50 \mathrm{~km}\) in a straight line towards south, immediately turns around and returns to Bengaluru. The time taken for this round trip is 2 hours. The magnitude of the average velocity of the car for this round trip

1 is 0 .
2 \(50 \mathrm{~km} / \mathrm{hr}\)
3 \(25 \mathrm{~km} / \mathrm{hr}\)
4 cannot be calculated without knowing acceleration
Motion in One Dimensions

141451 The magnitude of deceleration required for a body, moving at a speed of \(10 \mathrm{~m} / \mathrm{s}\) to come to a complete halt at a distance of \(100 \mathrm{~m}\) is

1 \(20 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(10 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(2 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(0.5 \mathrm{~m} / \mathrm{s}^{2}\)
5 \(1 \mathrm{~m} / \mathrm{s}^{2}\)
Motion in One Dimensions

141452 A \(5.0 \mathrm{~g}\) bullet moving at \(100 \mathrm{~m} / \mathrm{s}\) strikes a wooden block. Assuming that the bullet undergoes a uniform deceleration and stops after penetrating a distance of \(5 \mathrm{~cm}\). The time taken by the bullet to stop and the impulse on the block are respectively

1 \(4.5 \mathrm{~ms}\) and \(3.2 \mathrm{~N}-\mathrm{s}\)
2 \(3.5 \mathrm{~ms}\) and \(2.1 \mathrm{~N}-\mathrm{s}\)
3 \(2.7 \mathrm{~ms}\) and \(1.5 \mathrm{~N}-\mathrm{s}\)
4 \(1.0 \mathrm{~ms}\) and \(0.5 \mathrm{~N}-\mathrm{s}\)
Motion in One Dimensions

141448 A particle is moving along the circular path of radius ' \(r\) ' with velocity ' \(v\) '. The magnitude of average acceleration after half revolution is

1 \(\frac{3 v^{2}}{\pi r}\)
2 \(\frac{3 v^{2}}{2 \pi r}\)
3 \(\frac{2 v^{2}}{\pi r}\)
4 \(\frac{\mathrm{v}^{2}}{\pi \mathrm{r}}\)
Motion in One Dimensions

141449 A car starts from Bengaluru, goes \(50 \mathrm{~km}\) in a straight line towards south, immediately turns around and returns to Bengaluru. The time taken for this round trip is 2 hours. The magnitude of the average velocity of the car for this round trip

1 is 0 .
2 \(50 \mathrm{~km} / \mathrm{hr}\)
3 \(25 \mathrm{~km} / \mathrm{hr}\)
4 cannot be calculated without knowing acceleration
Motion in One Dimensions

141451 The magnitude of deceleration required for a body, moving at a speed of \(10 \mathrm{~m} / \mathrm{s}\) to come to a complete halt at a distance of \(100 \mathrm{~m}\) is

1 \(20 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(10 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(2 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(0.5 \mathrm{~m} / \mathrm{s}^{2}\)
5 \(1 \mathrm{~m} / \mathrm{s}^{2}\)
Motion in One Dimensions

141452 A \(5.0 \mathrm{~g}\) bullet moving at \(100 \mathrm{~m} / \mathrm{s}\) strikes a wooden block. Assuming that the bullet undergoes a uniform deceleration and stops after penetrating a distance of \(5 \mathrm{~cm}\). The time taken by the bullet to stop and the impulse on the block are respectively

1 \(4.5 \mathrm{~ms}\) and \(3.2 \mathrm{~N}-\mathrm{s}\)
2 \(3.5 \mathrm{~ms}\) and \(2.1 \mathrm{~N}-\mathrm{s}\)
3 \(2.7 \mathrm{~ms}\) and \(1.5 \mathrm{~N}-\mathrm{s}\)
4 \(1.0 \mathrm{~ms}\) and \(0.5 \mathrm{~N}-\mathrm{s}\)
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Motion in One Dimensions

141448 A particle is moving along the circular path of radius ' \(r\) ' with velocity ' \(v\) '. The magnitude of average acceleration after half revolution is

1 \(\frac{3 v^{2}}{\pi r}\)
2 \(\frac{3 v^{2}}{2 \pi r}\)
3 \(\frac{2 v^{2}}{\pi r}\)
4 \(\frac{\mathrm{v}^{2}}{\pi \mathrm{r}}\)
Motion in One Dimensions

141449 A car starts from Bengaluru, goes \(50 \mathrm{~km}\) in a straight line towards south, immediately turns around and returns to Bengaluru. The time taken for this round trip is 2 hours. The magnitude of the average velocity of the car for this round trip

1 is 0 .
2 \(50 \mathrm{~km} / \mathrm{hr}\)
3 \(25 \mathrm{~km} / \mathrm{hr}\)
4 cannot be calculated without knowing acceleration
Motion in One Dimensions

141451 The magnitude of deceleration required for a body, moving at a speed of \(10 \mathrm{~m} / \mathrm{s}\) to come to a complete halt at a distance of \(100 \mathrm{~m}\) is

1 \(20 \mathrm{~m} / \mathrm{s}^{2}\)
2 \(10 \mathrm{~m} / \mathrm{s}^{2}\)
3 \(2 \mathrm{~m} / \mathrm{s}^{2}\)
4 \(0.5 \mathrm{~m} / \mathrm{s}^{2}\)
5 \(1 \mathrm{~m} / \mathrm{s}^{2}\)
Motion in One Dimensions

141452 A \(5.0 \mathrm{~g}\) bullet moving at \(100 \mathrm{~m} / \mathrm{s}\) strikes a wooden block. Assuming that the bullet undergoes a uniform deceleration and stops after penetrating a distance of \(5 \mathrm{~cm}\). The time taken by the bullet to stop and the impulse on the block are respectively

1 \(4.5 \mathrm{~ms}\) and \(3.2 \mathrm{~N}-\mathrm{s}\)
2 \(3.5 \mathrm{~ms}\) and \(2.1 \mathrm{~N}-\mathrm{s}\)
3 \(2.7 \mathrm{~ms}\) and \(1.5 \mathrm{~N}-\mathrm{s}\)
4 \(1.0 \mathrm{~ms}\) and \(0.5 \mathrm{~N}-\mathrm{s}\)