04. Motion Under Gravity
Motion in One Dimensions

141851 A body thrown vertical upwards with a velocity \(v\) reaches a height of \(200 \mathrm{~m}\). Another body B whose mass is twice that of \(A\) is thrown with a velocity \(2 v\). Find the maximum height reached by \(\mathbf{B .}\).

1 \(400 \mathrm{~m}\)
2 \(800 \mathrm{~m}\)
3 \(100 \mathrm{~m}\)
4 \(200 \mathrm{~m}\)
Motion in One Dimensions

141852 Water-drops are falling at regular intervals from a water-tap situated at a height of 5 meters from the ground. Just at the moment the first drop touches the ground, the third drop comes out. At the moment, the height to the second drop of water from the ground will be:

1 \(1.25 \mathrm{~m}\)
2 \(2.50 \mathrm{~m}\)
3 \(3.75 \mathrm{~m}\)
4 \(4.50 \mathrm{~m}\)
Motion in One Dimensions

141853 A ball is dropped from the top of a tower. The distance covered in the last one second is 0.36 times the height of the tower. What is the height of the tower? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(125 \mathrm{~m}\)
2 \(100 \mathrm{~m}\)
3 \(88 \mathrm{~m}\)
4 \(64 \mathrm{~m}\)
Motion in One Dimensions

141854 A body of mass \(m\) is thrown up with velocity \(v_{0}\). The air drag is equal to \(\mathbf{k v}^{2}\) where \(v\) is the velocity at any instant and \(k\) is a positive constant (proportionally constant).
What is the velocity with which the body comes down?

1 \(\frac{\mathrm{v}_{0}}{\left(1+\frac{\mathrm{kv}_{0}^{2}}{\mathrm{mg}}\right)}\)
2 \(\frac{\mathrm{v}_{0}}{\left(1+\frac{\mathrm{kv}_{0}^{2}}{\mathrm{mg}}\right)^{1 / 2}}\)
3 \(\frac{\mathrm{v}_{0}}{\left(1+\frac{\mathrm{kv}_{0}^{2}}{\mathrm{mg}}\right)^{1 / 3}}\)
4 None of the above
Motion in One Dimensions

141855 A stone of mass \(0.05 \mathrm{~kg}\) is thrown vertically upwards. What is the direction, and magnitude of net force on the stone during its upward motion?

1 \(0.98 \mathrm{~N}\) vertically downwards
2 \(0.49 \mathrm{~N}\) vertically downwards
3 \(9.8 \mathrm{~N}\) vertically downwards
4 \(0.49 \mathrm{~N}\) vertically upwards
Motion in One Dimensions

141851 A body thrown vertical upwards with a velocity \(v\) reaches a height of \(200 \mathrm{~m}\). Another body B whose mass is twice that of \(A\) is thrown with a velocity \(2 v\). Find the maximum height reached by \(\mathbf{B .}\).

1 \(400 \mathrm{~m}\)
2 \(800 \mathrm{~m}\)
3 \(100 \mathrm{~m}\)
4 \(200 \mathrm{~m}\)
Motion in One Dimensions

141852 Water-drops are falling at regular intervals from a water-tap situated at a height of 5 meters from the ground. Just at the moment the first drop touches the ground, the third drop comes out. At the moment, the height to the second drop of water from the ground will be:

1 \(1.25 \mathrm{~m}\)
2 \(2.50 \mathrm{~m}\)
3 \(3.75 \mathrm{~m}\)
4 \(4.50 \mathrm{~m}\)
Motion in One Dimensions

141853 A ball is dropped from the top of a tower. The distance covered in the last one second is 0.36 times the height of the tower. What is the height of the tower? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(125 \mathrm{~m}\)
2 \(100 \mathrm{~m}\)
3 \(88 \mathrm{~m}\)
4 \(64 \mathrm{~m}\)
Motion in One Dimensions

141854 A body of mass \(m\) is thrown up with velocity \(v_{0}\). The air drag is equal to \(\mathbf{k v}^{2}\) where \(v\) is the velocity at any instant and \(k\) is a positive constant (proportionally constant).
What is the velocity with which the body comes down?

1 \(\frac{\mathrm{v}_{0}}{\left(1+\frac{\mathrm{kv}_{0}^{2}}{\mathrm{mg}}\right)}\)
2 \(\frac{\mathrm{v}_{0}}{\left(1+\frac{\mathrm{kv}_{0}^{2}}{\mathrm{mg}}\right)^{1 / 2}}\)
3 \(\frac{\mathrm{v}_{0}}{\left(1+\frac{\mathrm{kv}_{0}^{2}}{\mathrm{mg}}\right)^{1 / 3}}\)
4 None of the above
Motion in One Dimensions

141855 A stone of mass \(0.05 \mathrm{~kg}\) is thrown vertically upwards. What is the direction, and magnitude of net force on the stone during its upward motion?

1 \(0.98 \mathrm{~N}\) vertically downwards
2 \(0.49 \mathrm{~N}\) vertically downwards
3 \(9.8 \mathrm{~N}\) vertically downwards
4 \(0.49 \mathrm{~N}\) vertically upwards
Motion in One Dimensions

141851 A body thrown vertical upwards with a velocity \(v\) reaches a height of \(200 \mathrm{~m}\). Another body B whose mass is twice that of \(A\) is thrown with a velocity \(2 v\). Find the maximum height reached by \(\mathbf{B .}\).

1 \(400 \mathrm{~m}\)
2 \(800 \mathrm{~m}\)
3 \(100 \mathrm{~m}\)
4 \(200 \mathrm{~m}\)
Motion in One Dimensions

141852 Water-drops are falling at regular intervals from a water-tap situated at a height of 5 meters from the ground. Just at the moment the first drop touches the ground, the third drop comes out. At the moment, the height to the second drop of water from the ground will be:

1 \(1.25 \mathrm{~m}\)
2 \(2.50 \mathrm{~m}\)
3 \(3.75 \mathrm{~m}\)
4 \(4.50 \mathrm{~m}\)
Motion in One Dimensions

141853 A ball is dropped from the top of a tower. The distance covered in the last one second is 0.36 times the height of the tower. What is the height of the tower? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(125 \mathrm{~m}\)
2 \(100 \mathrm{~m}\)
3 \(88 \mathrm{~m}\)
4 \(64 \mathrm{~m}\)
Motion in One Dimensions

141854 A body of mass \(m\) is thrown up with velocity \(v_{0}\). The air drag is equal to \(\mathbf{k v}^{2}\) where \(v\) is the velocity at any instant and \(k\) is a positive constant (proportionally constant).
What is the velocity with which the body comes down?

1 \(\frac{\mathrm{v}_{0}}{\left(1+\frac{\mathrm{kv}_{0}^{2}}{\mathrm{mg}}\right)}\)
2 \(\frac{\mathrm{v}_{0}}{\left(1+\frac{\mathrm{kv}_{0}^{2}}{\mathrm{mg}}\right)^{1 / 2}}\)
3 \(\frac{\mathrm{v}_{0}}{\left(1+\frac{\mathrm{kv}_{0}^{2}}{\mathrm{mg}}\right)^{1 / 3}}\)
4 None of the above
Motion in One Dimensions

141855 A stone of mass \(0.05 \mathrm{~kg}\) is thrown vertically upwards. What is the direction, and magnitude of net force on the stone during its upward motion?

1 \(0.98 \mathrm{~N}\) vertically downwards
2 \(0.49 \mathrm{~N}\) vertically downwards
3 \(9.8 \mathrm{~N}\) vertically downwards
4 \(0.49 \mathrm{~N}\) vertically upwards
Motion in One Dimensions

141851 A body thrown vertical upwards with a velocity \(v\) reaches a height of \(200 \mathrm{~m}\). Another body B whose mass is twice that of \(A\) is thrown with a velocity \(2 v\). Find the maximum height reached by \(\mathbf{B .}\).

1 \(400 \mathrm{~m}\)
2 \(800 \mathrm{~m}\)
3 \(100 \mathrm{~m}\)
4 \(200 \mathrm{~m}\)
Motion in One Dimensions

141852 Water-drops are falling at regular intervals from a water-tap situated at a height of 5 meters from the ground. Just at the moment the first drop touches the ground, the third drop comes out. At the moment, the height to the second drop of water from the ground will be:

1 \(1.25 \mathrm{~m}\)
2 \(2.50 \mathrm{~m}\)
3 \(3.75 \mathrm{~m}\)
4 \(4.50 \mathrm{~m}\)
Motion in One Dimensions

141853 A ball is dropped from the top of a tower. The distance covered in the last one second is 0.36 times the height of the tower. What is the height of the tower? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(125 \mathrm{~m}\)
2 \(100 \mathrm{~m}\)
3 \(88 \mathrm{~m}\)
4 \(64 \mathrm{~m}\)
Motion in One Dimensions

141854 A body of mass \(m\) is thrown up with velocity \(v_{0}\). The air drag is equal to \(\mathbf{k v}^{2}\) where \(v\) is the velocity at any instant and \(k\) is a positive constant (proportionally constant).
What is the velocity with which the body comes down?

1 \(\frac{\mathrm{v}_{0}}{\left(1+\frac{\mathrm{kv}_{0}^{2}}{\mathrm{mg}}\right)}\)
2 \(\frac{\mathrm{v}_{0}}{\left(1+\frac{\mathrm{kv}_{0}^{2}}{\mathrm{mg}}\right)^{1 / 2}}\)
3 \(\frac{\mathrm{v}_{0}}{\left(1+\frac{\mathrm{kv}_{0}^{2}}{\mathrm{mg}}\right)^{1 / 3}}\)
4 None of the above
Motion in One Dimensions

141855 A stone of mass \(0.05 \mathrm{~kg}\) is thrown vertically upwards. What is the direction, and magnitude of net force on the stone during its upward motion?

1 \(0.98 \mathrm{~N}\) vertically downwards
2 \(0.49 \mathrm{~N}\) vertically downwards
3 \(9.8 \mathrm{~N}\) vertically downwards
4 \(0.49 \mathrm{~N}\) vertically upwards
Motion in One Dimensions

141851 A body thrown vertical upwards with a velocity \(v\) reaches a height of \(200 \mathrm{~m}\). Another body B whose mass is twice that of \(A\) is thrown with a velocity \(2 v\). Find the maximum height reached by \(\mathbf{B .}\).

1 \(400 \mathrm{~m}\)
2 \(800 \mathrm{~m}\)
3 \(100 \mathrm{~m}\)
4 \(200 \mathrm{~m}\)
Motion in One Dimensions

141852 Water-drops are falling at regular intervals from a water-tap situated at a height of 5 meters from the ground. Just at the moment the first drop touches the ground, the third drop comes out. At the moment, the height to the second drop of water from the ground will be:

1 \(1.25 \mathrm{~m}\)
2 \(2.50 \mathrm{~m}\)
3 \(3.75 \mathrm{~m}\)
4 \(4.50 \mathrm{~m}\)
Motion in One Dimensions

141853 A ball is dropped from the top of a tower. The distance covered in the last one second is 0.36 times the height of the tower. What is the height of the tower? \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(125 \mathrm{~m}\)
2 \(100 \mathrm{~m}\)
3 \(88 \mathrm{~m}\)
4 \(64 \mathrm{~m}\)
Motion in One Dimensions

141854 A body of mass \(m\) is thrown up with velocity \(v_{0}\). The air drag is equal to \(\mathbf{k v}^{2}\) where \(v\) is the velocity at any instant and \(k\) is a positive constant (proportionally constant).
What is the velocity with which the body comes down?

1 \(\frac{\mathrm{v}_{0}}{\left(1+\frac{\mathrm{kv}_{0}^{2}}{\mathrm{mg}}\right)}\)
2 \(\frac{\mathrm{v}_{0}}{\left(1+\frac{\mathrm{kv}_{0}^{2}}{\mathrm{mg}}\right)^{1 / 2}}\)
3 \(\frac{\mathrm{v}_{0}}{\left(1+\frac{\mathrm{kv}_{0}^{2}}{\mathrm{mg}}\right)^{1 / 3}}\)
4 None of the above
Motion in One Dimensions

141855 A stone of mass \(0.05 \mathrm{~kg}\) is thrown vertically upwards. What is the direction, and magnitude of net force on the stone during its upward motion?

1 \(0.98 \mathrm{~N}\) vertically downwards
2 \(0.49 \mathrm{~N}\) vertically downwards
3 \(9.8 \mathrm{~N}\) vertically downwards
4 \(0.49 \mathrm{~N}\) vertically upwards