HORIZONTAL PROJECTILE
Motion in Plane

269971 A bomber flying upward at an angle of \(53^{\circ}\) with the vertical releases a bomb at an altitude of \(800 \mathrm{~m}\). The bomb strikes the ground \(20 \mathrm{~s}\) after its release. If \(\mathrm{g}=10 \mathrm{~ms}^{-2}\), the velocity at the time of release of the bomb in \(\mathrm{ms}^{-1}\) is

1 400
2 800
3 100
4 200
Motion in Plane

269972 Two particles move in a uniform gravitational field with an acceleration g. At the initial moment the particles were located at same point and moved with velocities \(u_{1}=9 \mathrm{~m} \mathrm{~s}^{-1}\) and \(\mathrm{u}_{2}=4 \mathrm{~m} \mathrm{~s}^{-1}\) horizontally in opposite directions. The time between the particles at the moment when their velocity vectors are mutually perpendicular in \(s\) is (take \(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\) )

1 0.36
2 3.6
3 0.6
4 6
Motion in Plane

269973 An aeroplane is flying horizontally at a height of \(980 \mathrm{~m}\) with velocity \(100 \mathrm{~ms}^{-1}\) drops a food packet. A person on the ground is \(414 \mathrm{~m}\) ahead horizontally from the dropping point. At what velocity should he move so that he can catch the food packet.

1 \(50 \sqrt{2} \mathrm{~ms}^{-1}\)
2 \(\frac{50}{\sqrt{2}} m s^{-1}\)
3 \(100 \mathrm{~ms}^{-1}\)
4 \(200 \mathrm{~ms}^{-1}\)
Motion in Plane

270008 From the top of a building\(80 \mathrm{~m}\) high, a ball is thrown horizontally which hits the ground at a distance. The line joining the top of the building to the point where it hits the ground makes an angle of \(45^{\circ}\) with the ground. Initial velocity of projection of the ball is \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(10 \mathrm{~m} / \mathrm{s}\)
2 \(15 \mathrm{~m} / \mathrm{s}\)
3 \(20 \mathrm{~m} / \mathrm{s}\)
4 \(30 \mathrm{~m} / \mathrm{s}\)
Motion in Plane

270006 From the top of a tower of height\(78.4 \mathrm{~m}\) two stones are projected horizontally with \(10 \mathrm{~m} / \mathrm{s}\) and \(20 \mathrm{~m} / \mathrm{s}\) in opposite directions. On reaching the ground, their separation is

1 \(120 \mathrm{~m}\)
2 \(100 \mathrm{~m}\)
3 \(200 \mathrm{~m}\)
4 \(150 \mathrm{~m}\)
Motion in Plane

269971 A bomber flying upward at an angle of \(53^{\circ}\) with the vertical releases a bomb at an altitude of \(800 \mathrm{~m}\). The bomb strikes the ground \(20 \mathrm{~s}\) after its release. If \(\mathrm{g}=10 \mathrm{~ms}^{-2}\), the velocity at the time of release of the bomb in \(\mathrm{ms}^{-1}\) is

1 400
2 800
3 100
4 200
Motion in Plane

269972 Two particles move in a uniform gravitational field with an acceleration g. At the initial moment the particles were located at same point and moved with velocities \(u_{1}=9 \mathrm{~m} \mathrm{~s}^{-1}\) and \(\mathrm{u}_{2}=4 \mathrm{~m} \mathrm{~s}^{-1}\) horizontally in opposite directions. The time between the particles at the moment when their velocity vectors are mutually perpendicular in \(s\) is (take \(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\) )

1 0.36
2 3.6
3 0.6
4 6
Motion in Plane

269973 An aeroplane is flying horizontally at a height of \(980 \mathrm{~m}\) with velocity \(100 \mathrm{~ms}^{-1}\) drops a food packet. A person on the ground is \(414 \mathrm{~m}\) ahead horizontally from the dropping point. At what velocity should he move so that he can catch the food packet.

1 \(50 \sqrt{2} \mathrm{~ms}^{-1}\)
2 \(\frac{50}{\sqrt{2}} m s^{-1}\)
3 \(100 \mathrm{~ms}^{-1}\)
4 \(200 \mathrm{~ms}^{-1}\)
Motion in Plane

270008 From the top of a building\(80 \mathrm{~m}\) high, a ball is thrown horizontally which hits the ground at a distance. The line joining the top of the building to the point where it hits the ground makes an angle of \(45^{\circ}\) with the ground. Initial velocity of projection of the ball is \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(10 \mathrm{~m} / \mathrm{s}\)
2 \(15 \mathrm{~m} / \mathrm{s}\)
3 \(20 \mathrm{~m} / \mathrm{s}\)
4 \(30 \mathrm{~m} / \mathrm{s}\)
Motion in Plane

270006 From the top of a tower of height\(78.4 \mathrm{~m}\) two stones are projected horizontally with \(10 \mathrm{~m} / \mathrm{s}\) and \(20 \mathrm{~m} / \mathrm{s}\) in opposite directions. On reaching the ground, their separation is

1 \(120 \mathrm{~m}\)
2 \(100 \mathrm{~m}\)
3 \(200 \mathrm{~m}\)
4 \(150 \mathrm{~m}\)
Motion in Plane

269971 A bomber flying upward at an angle of \(53^{\circ}\) with the vertical releases a bomb at an altitude of \(800 \mathrm{~m}\). The bomb strikes the ground \(20 \mathrm{~s}\) after its release. If \(\mathrm{g}=10 \mathrm{~ms}^{-2}\), the velocity at the time of release of the bomb in \(\mathrm{ms}^{-1}\) is

1 400
2 800
3 100
4 200
Motion in Plane

269972 Two particles move in a uniform gravitational field with an acceleration g. At the initial moment the particles were located at same point and moved with velocities \(u_{1}=9 \mathrm{~m} \mathrm{~s}^{-1}\) and \(\mathrm{u}_{2}=4 \mathrm{~m} \mathrm{~s}^{-1}\) horizontally in opposite directions. The time between the particles at the moment when their velocity vectors are mutually perpendicular in \(s\) is (take \(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\) )

1 0.36
2 3.6
3 0.6
4 6
Motion in Plane

269973 An aeroplane is flying horizontally at a height of \(980 \mathrm{~m}\) with velocity \(100 \mathrm{~ms}^{-1}\) drops a food packet. A person on the ground is \(414 \mathrm{~m}\) ahead horizontally from the dropping point. At what velocity should he move so that he can catch the food packet.

1 \(50 \sqrt{2} \mathrm{~ms}^{-1}\)
2 \(\frac{50}{\sqrt{2}} m s^{-1}\)
3 \(100 \mathrm{~ms}^{-1}\)
4 \(200 \mathrm{~ms}^{-1}\)
Motion in Plane

270008 From the top of a building\(80 \mathrm{~m}\) high, a ball is thrown horizontally which hits the ground at a distance. The line joining the top of the building to the point where it hits the ground makes an angle of \(45^{\circ}\) with the ground. Initial velocity of projection of the ball is \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(10 \mathrm{~m} / \mathrm{s}\)
2 \(15 \mathrm{~m} / \mathrm{s}\)
3 \(20 \mathrm{~m} / \mathrm{s}\)
4 \(30 \mathrm{~m} / \mathrm{s}\)
Motion in Plane

270006 From the top of a tower of height\(78.4 \mathrm{~m}\) two stones are projected horizontally with \(10 \mathrm{~m} / \mathrm{s}\) and \(20 \mathrm{~m} / \mathrm{s}\) in opposite directions. On reaching the ground, their separation is

1 \(120 \mathrm{~m}\)
2 \(100 \mathrm{~m}\)
3 \(200 \mathrm{~m}\)
4 \(150 \mathrm{~m}\)
Motion in Plane

269971 A bomber flying upward at an angle of \(53^{\circ}\) with the vertical releases a bomb at an altitude of \(800 \mathrm{~m}\). The bomb strikes the ground \(20 \mathrm{~s}\) after its release. If \(\mathrm{g}=10 \mathrm{~ms}^{-2}\), the velocity at the time of release of the bomb in \(\mathrm{ms}^{-1}\) is

1 400
2 800
3 100
4 200
Motion in Plane

269972 Two particles move in a uniform gravitational field with an acceleration g. At the initial moment the particles were located at same point and moved with velocities \(u_{1}=9 \mathrm{~m} \mathrm{~s}^{-1}\) and \(\mathrm{u}_{2}=4 \mathrm{~m} \mathrm{~s}^{-1}\) horizontally in opposite directions. The time between the particles at the moment when their velocity vectors are mutually perpendicular in \(s\) is (take \(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\) )

1 0.36
2 3.6
3 0.6
4 6
Motion in Plane

269973 An aeroplane is flying horizontally at a height of \(980 \mathrm{~m}\) with velocity \(100 \mathrm{~ms}^{-1}\) drops a food packet. A person on the ground is \(414 \mathrm{~m}\) ahead horizontally from the dropping point. At what velocity should he move so that he can catch the food packet.

1 \(50 \sqrt{2} \mathrm{~ms}^{-1}\)
2 \(\frac{50}{\sqrt{2}} m s^{-1}\)
3 \(100 \mathrm{~ms}^{-1}\)
4 \(200 \mathrm{~ms}^{-1}\)
Motion in Plane

270008 From the top of a building\(80 \mathrm{~m}\) high, a ball is thrown horizontally which hits the ground at a distance. The line joining the top of the building to the point where it hits the ground makes an angle of \(45^{\circ}\) with the ground. Initial velocity of projection of the ball is \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(10 \mathrm{~m} / \mathrm{s}\)
2 \(15 \mathrm{~m} / \mathrm{s}\)
3 \(20 \mathrm{~m} / \mathrm{s}\)
4 \(30 \mathrm{~m} / \mathrm{s}\)
Motion in Plane

270006 From the top of a tower of height\(78.4 \mathrm{~m}\) two stones are projected horizontally with \(10 \mathrm{~m} / \mathrm{s}\) and \(20 \mathrm{~m} / \mathrm{s}\) in opposite directions. On reaching the ground, their separation is

1 \(120 \mathrm{~m}\)
2 \(100 \mathrm{~m}\)
3 \(200 \mathrm{~m}\)
4 \(150 \mathrm{~m}\)
Motion in Plane

269971 A bomber flying upward at an angle of \(53^{\circ}\) with the vertical releases a bomb at an altitude of \(800 \mathrm{~m}\). The bomb strikes the ground \(20 \mathrm{~s}\) after its release. If \(\mathrm{g}=10 \mathrm{~ms}^{-2}\), the velocity at the time of release of the bomb in \(\mathrm{ms}^{-1}\) is

1 400
2 800
3 100
4 200
Motion in Plane

269972 Two particles move in a uniform gravitational field with an acceleration g. At the initial moment the particles were located at same point and moved with velocities \(u_{1}=9 \mathrm{~m} \mathrm{~s}^{-1}\) and \(\mathrm{u}_{2}=4 \mathrm{~m} \mathrm{~s}^{-1}\) horizontally in opposite directions. The time between the particles at the moment when their velocity vectors are mutually perpendicular in \(s\) is (take \(\mathrm{g}=10 \mathrm{~m} \mathrm{~s}^{-2}\) )

1 0.36
2 3.6
3 0.6
4 6
Motion in Plane

269973 An aeroplane is flying horizontally at a height of \(980 \mathrm{~m}\) with velocity \(100 \mathrm{~ms}^{-1}\) drops a food packet. A person on the ground is \(414 \mathrm{~m}\) ahead horizontally from the dropping point. At what velocity should he move so that he can catch the food packet.

1 \(50 \sqrt{2} \mathrm{~ms}^{-1}\)
2 \(\frac{50}{\sqrt{2}} m s^{-1}\)
3 \(100 \mathrm{~ms}^{-1}\)
4 \(200 \mathrm{~ms}^{-1}\)
Motion in Plane

270008 From the top of a building\(80 \mathrm{~m}\) high, a ball is thrown horizontally which hits the ground at a distance. The line joining the top of the building to the point where it hits the ground makes an angle of \(45^{\circ}\) with the ground. Initial velocity of projection of the ball is \(\left(g=10 \mathrm{~m} / \mathrm{s}^{2}\right)\)

1 \(10 \mathrm{~m} / \mathrm{s}\)
2 \(15 \mathrm{~m} / \mathrm{s}\)
3 \(20 \mathrm{~m} / \mathrm{s}\)
4 \(30 \mathrm{~m} / \mathrm{s}\)
Motion in Plane

270006 From the top of a tower of height\(78.4 \mathrm{~m}\) two stones are projected horizontally with \(10 \mathrm{~m} / \mathrm{s}\) and \(20 \mathrm{~m} / \mathrm{s}\) in opposite directions. On reaching the ground, their separation is

1 \(120 \mathrm{~m}\)
2 \(100 \mathrm{~m}\)
3 \(200 \mathrm{~m}\)
4 \(150 \mathrm{~m}\)