RELATIVE VELOCITY
MOTION IN A STRIGHT LINE

269767 Two trains\(A\) and \(B, 100 \mathrm{~m}\) and \(60 \mathrm{~m}\) long, are moving in opposite directions on parallel tracks. The velocity of the shorter train is 3 times that of the longer one. If the trains take \(4 s\) to cross each other, the velocities of the trains are

1 \(\mathrm{v}_{\mathrm{A}}=10 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=30 \mathrm{~ms}^{-1}\)
2 \(\mathrm{v}_{\mathrm{A}}=2.5 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=7.5 \mathrm{~ms}^{-1}\)
3 \(\mathrm{v}_{\mathrm{A}}=20 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=60 \mathrm{~ms}^{-1}\)
4 \(\mathrm{v}_{\mathrm{A}}=5 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=15 \mathrm{~ms}^{-1}\)
MOTION IN A STRIGHT LINE

269791 Two carsaretravelling in the same direction with a velocity of \(60 \mathrm{kmph}\). They are separated by a distance of \(5 \mathrm{~km}\). A truck moving in opposite direction meets the two cars in a time interval of 3 minute. The velocity of the truck is (in \(\mathrm{kmph}\) )

1 20
2 30
3 40
4 60
MOTION IN A STRIGHT LINE

269792 A police van moving on a highway with a speed of\(30 \mathrm{kmph}\) fires a bullet at a thief's car speeding away in the samedirection with a speed of \(192 \mathrm{kmph}\). If the muzzle speed of the bullet is \(150 \mathrm{~m} / \mathrm{s}\), with what speed does the bullet hit the thief's car? (Note: Obtain that speed which is relevant for damaging the thief's car).

1 \(25 \mathrm{~m} / \mathrm{s}\)
2 \(50 \mathrm{~m} / \mathrm{s}\)
3 \(75 \mathrm{~m} / \mathrm{s}\)
4 \(105 \mathrm{~m} / \mathrm{s}\)
MOTION IN A STRIGHT LINE

269793 Two cars are moving in same direction with speed of\(30 \mathrm{kmph}\). They are separated by a distance of \(5 \mathrm{~km}\). What is the speed of a car moving in opposite direction if it meets the two cars at an interval of \(4 \mathrm{~min}\) ?

1 \(60 \mathrm{kmph}\)
2 \(5 \mathrm{kmph}\)
3 \(30 \mathrm{kmph}\)
4 \(45 \mathrm{kmph}\)
MOTION IN A STRIGHT LINE

269767 Two trains\(A\) and \(B, 100 \mathrm{~m}\) and \(60 \mathrm{~m}\) long, are moving in opposite directions on parallel tracks. The velocity of the shorter train is 3 times that of the longer one. If the trains take \(4 s\) to cross each other, the velocities of the trains are

1 \(\mathrm{v}_{\mathrm{A}}=10 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=30 \mathrm{~ms}^{-1}\)
2 \(\mathrm{v}_{\mathrm{A}}=2.5 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=7.5 \mathrm{~ms}^{-1}\)
3 \(\mathrm{v}_{\mathrm{A}}=20 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=60 \mathrm{~ms}^{-1}\)
4 \(\mathrm{v}_{\mathrm{A}}=5 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=15 \mathrm{~ms}^{-1}\)
MOTION IN A STRIGHT LINE

269791 Two carsaretravelling in the same direction with a velocity of \(60 \mathrm{kmph}\). They are separated by a distance of \(5 \mathrm{~km}\). A truck moving in opposite direction meets the two cars in a time interval of 3 minute. The velocity of the truck is (in \(\mathrm{kmph}\) )

1 20
2 30
3 40
4 60
MOTION IN A STRIGHT LINE

269792 A police van moving on a highway with a speed of\(30 \mathrm{kmph}\) fires a bullet at a thief's car speeding away in the samedirection with a speed of \(192 \mathrm{kmph}\). If the muzzle speed of the bullet is \(150 \mathrm{~m} / \mathrm{s}\), with what speed does the bullet hit the thief's car? (Note: Obtain that speed which is relevant for damaging the thief's car).

1 \(25 \mathrm{~m} / \mathrm{s}\)
2 \(50 \mathrm{~m} / \mathrm{s}\)
3 \(75 \mathrm{~m} / \mathrm{s}\)
4 \(105 \mathrm{~m} / \mathrm{s}\)
MOTION IN A STRIGHT LINE

269793 Two cars are moving in same direction with speed of\(30 \mathrm{kmph}\). They are separated by a distance of \(5 \mathrm{~km}\). What is the speed of a car moving in opposite direction if it meets the two cars at an interval of \(4 \mathrm{~min}\) ?

1 \(60 \mathrm{kmph}\)
2 \(5 \mathrm{kmph}\)
3 \(30 \mathrm{kmph}\)
4 \(45 \mathrm{kmph}\)
MOTION IN A STRIGHT LINE

269767 Two trains\(A\) and \(B, 100 \mathrm{~m}\) and \(60 \mathrm{~m}\) long, are moving in opposite directions on parallel tracks. The velocity of the shorter train is 3 times that of the longer one. If the trains take \(4 s\) to cross each other, the velocities of the trains are

1 \(\mathrm{v}_{\mathrm{A}}=10 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=30 \mathrm{~ms}^{-1}\)
2 \(\mathrm{v}_{\mathrm{A}}=2.5 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=7.5 \mathrm{~ms}^{-1}\)
3 \(\mathrm{v}_{\mathrm{A}}=20 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=60 \mathrm{~ms}^{-1}\)
4 \(\mathrm{v}_{\mathrm{A}}=5 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=15 \mathrm{~ms}^{-1}\)
MOTION IN A STRIGHT LINE

269791 Two carsaretravelling in the same direction with a velocity of \(60 \mathrm{kmph}\). They are separated by a distance of \(5 \mathrm{~km}\). A truck moving in opposite direction meets the two cars in a time interval of 3 minute. The velocity of the truck is (in \(\mathrm{kmph}\) )

1 20
2 30
3 40
4 60
MOTION IN A STRIGHT LINE

269792 A police van moving on a highway with a speed of\(30 \mathrm{kmph}\) fires a bullet at a thief's car speeding away in the samedirection with a speed of \(192 \mathrm{kmph}\). If the muzzle speed of the bullet is \(150 \mathrm{~m} / \mathrm{s}\), with what speed does the bullet hit the thief's car? (Note: Obtain that speed which is relevant for damaging the thief's car).

1 \(25 \mathrm{~m} / \mathrm{s}\)
2 \(50 \mathrm{~m} / \mathrm{s}\)
3 \(75 \mathrm{~m} / \mathrm{s}\)
4 \(105 \mathrm{~m} / \mathrm{s}\)
MOTION IN A STRIGHT LINE

269793 Two cars are moving in same direction with speed of\(30 \mathrm{kmph}\). They are separated by a distance of \(5 \mathrm{~km}\). What is the speed of a car moving in opposite direction if it meets the two cars at an interval of \(4 \mathrm{~min}\) ?

1 \(60 \mathrm{kmph}\)
2 \(5 \mathrm{kmph}\)
3 \(30 \mathrm{kmph}\)
4 \(45 \mathrm{kmph}\)
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MOTION IN A STRIGHT LINE

269767 Two trains\(A\) and \(B, 100 \mathrm{~m}\) and \(60 \mathrm{~m}\) long, are moving in opposite directions on parallel tracks. The velocity of the shorter train is 3 times that of the longer one. If the trains take \(4 s\) to cross each other, the velocities of the trains are

1 \(\mathrm{v}_{\mathrm{A}}=10 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=30 \mathrm{~ms}^{-1}\)
2 \(\mathrm{v}_{\mathrm{A}}=2.5 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=7.5 \mathrm{~ms}^{-1}\)
3 \(\mathrm{v}_{\mathrm{A}}=20 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=60 \mathrm{~ms}^{-1}\)
4 \(\mathrm{v}_{\mathrm{A}}=5 \mathrm{~ms}^{-1}, \mathrm{v}_{\mathrm{B}}=15 \mathrm{~ms}^{-1}\)
MOTION IN A STRIGHT LINE

269791 Two carsaretravelling in the same direction with a velocity of \(60 \mathrm{kmph}\). They are separated by a distance of \(5 \mathrm{~km}\). A truck moving in opposite direction meets the two cars in a time interval of 3 minute. The velocity of the truck is (in \(\mathrm{kmph}\) )

1 20
2 30
3 40
4 60
MOTION IN A STRIGHT LINE

269792 A police van moving on a highway with a speed of\(30 \mathrm{kmph}\) fires a bullet at a thief's car speeding away in the samedirection with a speed of \(192 \mathrm{kmph}\). If the muzzle speed of the bullet is \(150 \mathrm{~m} / \mathrm{s}\), with what speed does the bullet hit the thief's car? (Note: Obtain that speed which is relevant for damaging the thief's car).

1 \(25 \mathrm{~m} / \mathrm{s}\)
2 \(50 \mathrm{~m} / \mathrm{s}\)
3 \(75 \mathrm{~m} / \mathrm{s}\)
4 \(105 \mathrm{~m} / \mathrm{s}\)
MOTION IN A STRIGHT LINE

269793 Two cars are moving in same direction with speed of\(30 \mathrm{kmph}\). They are separated by a distance of \(5 \mathrm{~km}\). What is the speed of a car moving in opposite direction if it meets the two cars at an interval of \(4 \mathrm{~min}\) ?

1 \(60 \mathrm{kmph}\)
2 \(5 \mathrm{kmph}\)
3 \(30 \mathrm{kmph}\)
4 \(45 \mathrm{kmph}\)