04. Motion Under Gravity
Motion in One Dimensions

141868 A particle is thrown vertically upward with a speed of \(u\) from a tower of height \(H\). The time taken by the particle to hit the ground is \(n\) time that taken by it to reach the highest point of its path. The relation between \(H, u\) and \(n\) is

1 \(\mathrm{gH}=(\mathrm{n}-2)^{2} \mathrm{u}^{2}\)
2 \(\frac{n u^{2}(n-2)}{2}=g H\)
3 \(\mathrm{gH}=\frac{\mathrm{n}^{2} \mathrm{u}^{2}}{2}\)
4 \((\mathrm{n}-2)=\frac{\mathrm{gH}}{\mathrm{u}^{2}}\)
Motion in One Dimensions

141869 A ball is dropped from a bridge at a height of \(176.4 \mathrm{~m}\) over a river. After \(2 \mathrm{~s}\), a second ball is thrown straight downwards. What should be the initial velocity of the second ball so that both hit the water simultaneously?

1 \(2.45 \mathrm{~ms}^{-1}\)
2 \(49 \mathrm{~ms}^{-1}\)
3 \(14.5 \mathrm{~ms}^{-1}\)
4 \(24.5 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141870 A ball is dropped on a floor and bounces back to a height somewhat less than the original height, which of the curves depicts its motion correctly?

1 original image
2 original image
3 original image
4 original image
Motion in One Dimensions

141871 A stone falls freely from rest, and the distance covered by it in the last second of its motion equals the distance covered by it in the first three seconds of its motion. The stone remains in the air for

1 \(5 \mathrm{~s}\)
2 \(8 \mathrm{~s}\)
3 \(10 \mathrm{~s}\)
4 \(15 \mathrm{~s}\)
Motion in One Dimensions

141872 A elevator car whose floor to distance is \(2.7 \mathrm{~m}\) starts ascending with a constant acceleration of \(1.2 \mathrm{~m} / \mathrm{s}^{2}, 2 \mathrm{~s}\) after a bolt is begin to fall from the ceiling of the car. The free fall time of the bolt is \(\left(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\sqrt{\frac{2.7}{9.8} \mathrm{~s}} \mathrm{~s}\)
2 \(\sqrt{\frac{5.4}{9.8}} \mathrm{~s}\)
3 \(\sqrt{\frac{5.4}{8.6} \mathrm{~s}} \mathrm{~s}\)
4 \(\sqrt{\frac{5.4}{11}} \mathrm{~s}\)
Motion in One Dimensions

141868 A particle is thrown vertically upward with a speed of \(u\) from a tower of height \(H\). The time taken by the particle to hit the ground is \(n\) time that taken by it to reach the highest point of its path. The relation between \(H, u\) and \(n\) is

1 \(\mathrm{gH}=(\mathrm{n}-2)^{2} \mathrm{u}^{2}\)
2 \(\frac{n u^{2}(n-2)}{2}=g H\)
3 \(\mathrm{gH}=\frac{\mathrm{n}^{2} \mathrm{u}^{2}}{2}\)
4 \((\mathrm{n}-2)=\frac{\mathrm{gH}}{\mathrm{u}^{2}}\)
Motion in One Dimensions

141869 A ball is dropped from a bridge at a height of \(176.4 \mathrm{~m}\) over a river. After \(2 \mathrm{~s}\), a second ball is thrown straight downwards. What should be the initial velocity of the second ball so that both hit the water simultaneously?

1 \(2.45 \mathrm{~ms}^{-1}\)
2 \(49 \mathrm{~ms}^{-1}\)
3 \(14.5 \mathrm{~ms}^{-1}\)
4 \(24.5 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141870 A ball is dropped on a floor and bounces back to a height somewhat less than the original height, which of the curves depicts its motion correctly?

1 original image
2 original image
3 original image
4 original image
Motion in One Dimensions

141871 A stone falls freely from rest, and the distance covered by it in the last second of its motion equals the distance covered by it in the first three seconds of its motion. The stone remains in the air for

1 \(5 \mathrm{~s}\)
2 \(8 \mathrm{~s}\)
3 \(10 \mathrm{~s}\)
4 \(15 \mathrm{~s}\)
Motion in One Dimensions

141872 A elevator car whose floor to distance is \(2.7 \mathrm{~m}\) starts ascending with a constant acceleration of \(1.2 \mathrm{~m} / \mathrm{s}^{2}, 2 \mathrm{~s}\) after a bolt is begin to fall from the ceiling of the car. The free fall time of the bolt is \(\left(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\sqrt{\frac{2.7}{9.8} \mathrm{~s}} \mathrm{~s}\)
2 \(\sqrt{\frac{5.4}{9.8}} \mathrm{~s}\)
3 \(\sqrt{\frac{5.4}{8.6} \mathrm{~s}} \mathrm{~s}\)
4 \(\sqrt{\frac{5.4}{11}} \mathrm{~s}\)
Motion in One Dimensions

141868 A particle is thrown vertically upward with a speed of \(u\) from a tower of height \(H\). The time taken by the particle to hit the ground is \(n\) time that taken by it to reach the highest point of its path. The relation between \(H, u\) and \(n\) is

1 \(\mathrm{gH}=(\mathrm{n}-2)^{2} \mathrm{u}^{2}\)
2 \(\frac{n u^{2}(n-2)}{2}=g H\)
3 \(\mathrm{gH}=\frac{\mathrm{n}^{2} \mathrm{u}^{2}}{2}\)
4 \((\mathrm{n}-2)=\frac{\mathrm{gH}}{\mathrm{u}^{2}}\)
Motion in One Dimensions

141869 A ball is dropped from a bridge at a height of \(176.4 \mathrm{~m}\) over a river. After \(2 \mathrm{~s}\), a second ball is thrown straight downwards. What should be the initial velocity of the second ball so that both hit the water simultaneously?

1 \(2.45 \mathrm{~ms}^{-1}\)
2 \(49 \mathrm{~ms}^{-1}\)
3 \(14.5 \mathrm{~ms}^{-1}\)
4 \(24.5 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141870 A ball is dropped on a floor and bounces back to a height somewhat less than the original height, which of the curves depicts its motion correctly?

1 original image
2 original image
3 original image
4 original image
Motion in One Dimensions

141871 A stone falls freely from rest, and the distance covered by it in the last second of its motion equals the distance covered by it in the first three seconds of its motion. The stone remains in the air for

1 \(5 \mathrm{~s}\)
2 \(8 \mathrm{~s}\)
3 \(10 \mathrm{~s}\)
4 \(15 \mathrm{~s}\)
Motion in One Dimensions

141872 A elevator car whose floor to distance is \(2.7 \mathrm{~m}\) starts ascending with a constant acceleration of \(1.2 \mathrm{~m} / \mathrm{s}^{2}, 2 \mathrm{~s}\) after a bolt is begin to fall from the ceiling of the car. The free fall time of the bolt is \(\left(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\sqrt{\frac{2.7}{9.8} \mathrm{~s}} \mathrm{~s}\)
2 \(\sqrt{\frac{5.4}{9.8}} \mathrm{~s}\)
3 \(\sqrt{\frac{5.4}{8.6} \mathrm{~s}} \mathrm{~s}\)
4 \(\sqrt{\frac{5.4}{11}} \mathrm{~s}\)
Motion in One Dimensions

141868 A particle is thrown vertically upward with a speed of \(u\) from a tower of height \(H\). The time taken by the particle to hit the ground is \(n\) time that taken by it to reach the highest point of its path. The relation between \(H, u\) and \(n\) is

1 \(\mathrm{gH}=(\mathrm{n}-2)^{2} \mathrm{u}^{2}\)
2 \(\frac{n u^{2}(n-2)}{2}=g H\)
3 \(\mathrm{gH}=\frac{\mathrm{n}^{2} \mathrm{u}^{2}}{2}\)
4 \((\mathrm{n}-2)=\frac{\mathrm{gH}}{\mathrm{u}^{2}}\)
Motion in One Dimensions

141869 A ball is dropped from a bridge at a height of \(176.4 \mathrm{~m}\) over a river. After \(2 \mathrm{~s}\), a second ball is thrown straight downwards. What should be the initial velocity of the second ball so that both hit the water simultaneously?

1 \(2.45 \mathrm{~ms}^{-1}\)
2 \(49 \mathrm{~ms}^{-1}\)
3 \(14.5 \mathrm{~ms}^{-1}\)
4 \(24.5 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141870 A ball is dropped on a floor and bounces back to a height somewhat less than the original height, which of the curves depicts its motion correctly?

1 original image
2 original image
3 original image
4 original image
Motion in One Dimensions

141871 A stone falls freely from rest, and the distance covered by it in the last second of its motion equals the distance covered by it in the first three seconds of its motion. The stone remains in the air for

1 \(5 \mathrm{~s}\)
2 \(8 \mathrm{~s}\)
3 \(10 \mathrm{~s}\)
4 \(15 \mathrm{~s}\)
Motion in One Dimensions

141872 A elevator car whose floor to distance is \(2.7 \mathrm{~m}\) starts ascending with a constant acceleration of \(1.2 \mathrm{~m} / \mathrm{s}^{2}, 2 \mathrm{~s}\) after a bolt is begin to fall from the ceiling of the car. The free fall time of the bolt is \(\left(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\sqrt{\frac{2.7}{9.8} \mathrm{~s}} \mathrm{~s}\)
2 \(\sqrt{\frac{5.4}{9.8}} \mathrm{~s}\)
3 \(\sqrt{\frac{5.4}{8.6} \mathrm{~s}} \mathrm{~s}\)
4 \(\sqrt{\frac{5.4}{11}} \mathrm{~s}\)
Motion in One Dimensions

141868 A particle is thrown vertically upward with a speed of \(u\) from a tower of height \(H\). The time taken by the particle to hit the ground is \(n\) time that taken by it to reach the highest point of its path. The relation between \(H, u\) and \(n\) is

1 \(\mathrm{gH}=(\mathrm{n}-2)^{2} \mathrm{u}^{2}\)
2 \(\frac{n u^{2}(n-2)}{2}=g H\)
3 \(\mathrm{gH}=\frac{\mathrm{n}^{2} \mathrm{u}^{2}}{2}\)
4 \((\mathrm{n}-2)=\frac{\mathrm{gH}}{\mathrm{u}^{2}}\)
Motion in One Dimensions

141869 A ball is dropped from a bridge at a height of \(176.4 \mathrm{~m}\) over a river. After \(2 \mathrm{~s}\), a second ball is thrown straight downwards. What should be the initial velocity of the second ball so that both hit the water simultaneously?

1 \(2.45 \mathrm{~ms}^{-1}\)
2 \(49 \mathrm{~ms}^{-1}\)
3 \(14.5 \mathrm{~ms}^{-1}\)
4 \(24.5 \mathrm{~ms}^{-1}\)
Motion in One Dimensions

141870 A ball is dropped on a floor and bounces back to a height somewhat less than the original height, which of the curves depicts its motion correctly?

1 original image
2 original image
3 original image
4 original image
Motion in One Dimensions

141871 A stone falls freely from rest, and the distance covered by it in the last second of its motion equals the distance covered by it in the first three seconds of its motion. The stone remains in the air for

1 \(5 \mathrm{~s}\)
2 \(8 \mathrm{~s}\)
3 \(10 \mathrm{~s}\)
4 \(15 \mathrm{~s}\)
Motion in One Dimensions

141872 A elevator car whose floor to distance is \(2.7 \mathrm{~m}\) starts ascending with a constant acceleration of \(1.2 \mathrm{~m} / \mathrm{s}^{2}, 2 \mathrm{~s}\) after a bolt is begin to fall from the ceiling of the car. The free fall time of the bolt is \(\left(g=9.8 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(\sqrt{\frac{2.7}{9.8} \mathrm{~s}} \mathrm{~s}\)
2 \(\sqrt{\frac{5.4}{9.8}} \mathrm{~s}\)
3 \(\sqrt{\frac{5.4}{8.6} \mathrm{~s}} \mathrm{~s}\)
4 \(\sqrt{\frac{5.4}{11}} \mathrm{~s}\)