02. Relative Velocity in Plane
Motion in Plane

143733 A car is moving with velocity \(v\) at the top of a semi-circular hill of radius \(40 \mathrm{~m}\) such that the normal force on it is zero. Find the velocity (v) of the car.

1 \(15 \mathrm{~ms}^{-1}\)
2 \(20 \mathrm{~ms}^{-1}\)
3 \(30 \mathrm{~ms}^{-1}\)
4 \(40 \mathrm{~ms}^{-1}\)
Motion in Plane

143734 A particle moves in a circle of radius \(25 \mathrm{~cm}\) at two revolutions per second. The acceleration of the particle in meter per second \({ }^{2}\) is

1 \(\pi^{2}\)
2 \(8 \pi^{2}\)
3 \(4 \pi^{2}\)
4 \(2 \pi^{2}\)
Motion in Plane

143735 A police jeep is chasing with velocity of 45 \(\mathrm{km} / \mathrm{h}\), a thief in another jeep moving with velocity \(153 \mathrm{~km} / \mathrm{h}\). Police fires a bullet with muzzle velocity of \(180 \mathrm{~m} / \mathrm{s}\). The velocity with which it will strike the jeep of the thief, is

1 \(150 \mathrm{~m} / \mathrm{s}\)
2 \(27 \mathrm{~m} / \mathrm{s}\)
3 \(450 \mathrm{~m} / \mathrm{s}\)
4 \(250 \mathrm{~m} / \mathrm{s}\)
Motion in Plane

143736 A motor cyclist is riding North in still air at 36 \(\mathrm{km} / \mathrm{h}\), the wind starts blowing westward with a velocity \(18 \mathrm{~km} / \mathrm{h}\). The direction of apparent velocity is

1 \(\tan ^{-1} \frac{1}{2}\) West of North
2 \(\tan ^{-1} \frac{1}{2}\) North of West
3 \(\tan ^{-1} \frac{1}{2}\) East of North
4 \(\tan ^{-1} \frac{1}{2}\) North of East
Motion in Plane

143733 A car is moving with velocity \(v\) at the top of a semi-circular hill of radius \(40 \mathrm{~m}\) such that the normal force on it is zero. Find the velocity (v) of the car.

1 \(15 \mathrm{~ms}^{-1}\)
2 \(20 \mathrm{~ms}^{-1}\)
3 \(30 \mathrm{~ms}^{-1}\)
4 \(40 \mathrm{~ms}^{-1}\)
Motion in Plane

143734 A particle moves in a circle of radius \(25 \mathrm{~cm}\) at two revolutions per second. The acceleration of the particle in meter per second \({ }^{2}\) is

1 \(\pi^{2}\)
2 \(8 \pi^{2}\)
3 \(4 \pi^{2}\)
4 \(2 \pi^{2}\)
Motion in Plane

143735 A police jeep is chasing with velocity of 45 \(\mathrm{km} / \mathrm{h}\), a thief in another jeep moving with velocity \(153 \mathrm{~km} / \mathrm{h}\). Police fires a bullet with muzzle velocity of \(180 \mathrm{~m} / \mathrm{s}\). The velocity with which it will strike the jeep of the thief, is

1 \(150 \mathrm{~m} / \mathrm{s}\)
2 \(27 \mathrm{~m} / \mathrm{s}\)
3 \(450 \mathrm{~m} / \mathrm{s}\)
4 \(250 \mathrm{~m} / \mathrm{s}\)
Motion in Plane

143736 A motor cyclist is riding North in still air at 36 \(\mathrm{km} / \mathrm{h}\), the wind starts blowing westward with a velocity \(18 \mathrm{~km} / \mathrm{h}\). The direction of apparent velocity is

1 \(\tan ^{-1} \frac{1}{2}\) West of North
2 \(\tan ^{-1} \frac{1}{2}\) North of West
3 \(\tan ^{-1} \frac{1}{2}\) East of North
4 \(\tan ^{-1} \frac{1}{2}\) North of East
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Motion in Plane

143733 A car is moving with velocity \(v\) at the top of a semi-circular hill of radius \(40 \mathrm{~m}\) such that the normal force on it is zero. Find the velocity (v) of the car.

1 \(15 \mathrm{~ms}^{-1}\)
2 \(20 \mathrm{~ms}^{-1}\)
3 \(30 \mathrm{~ms}^{-1}\)
4 \(40 \mathrm{~ms}^{-1}\)
Motion in Plane

143734 A particle moves in a circle of radius \(25 \mathrm{~cm}\) at two revolutions per second. The acceleration of the particle in meter per second \({ }^{2}\) is

1 \(\pi^{2}\)
2 \(8 \pi^{2}\)
3 \(4 \pi^{2}\)
4 \(2 \pi^{2}\)
Motion in Plane

143735 A police jeep is chasing with velocity of 45 \(\mathrm{km} / \mathrm{h}\), a thief in another jeep moving with velocity \(153 \mathrm{~km} / \mathrm{h}\). Police fires a bullet with muzzle velocity of \(180 \mathrm{~m} / \mathrm{s}\). The velocity with which it will strike the jeep of the thief, is

1 \(150 \mathrm{~m} / \mathrm{s}\)
2 \(27 \mathrm{~m} / \mathrm{s}\)
3 \(450 \mathrm{~m} / \mathrm{s}\)
4 \(250 \mathrm{~m} / \mathrm{s}\)
Motion in Plane

143736 A motor cyclist is riding North in still air at 36 \(\mathrm{km} / \mathrm{h}\), the wind starts blowing westward with a velocity \(18 \mathrm{~km} / \mathrm{h}\). The direction of apparent velocity is

1 \(\tan ^{-1} \frac{1}{2}\) West of North
2 \(\tan ^{-1} \frac{1}{2}\) North of West
3 \(\tan ^{-1} \frac{1}{2}\) East of North
4 \(\tan ^{-1} \frac{1}{2}\) North of East
Motion in Plane

143733 A car is moving with velocity \(v\) at the top of a semi-circular hill of radius \(40 \mathrm{~m}\) such that the normal force on it is zero. Find the velocity (v) of the car.

1 \(15 \mathrm{~ms}^{-1}\)
2 \(20 \mathrm{~ms}^{-1}\)
3 \(30 \mathrm{~ms}^{-1}\)
4 \(40 \mathrm{~ms}^{-1}\)
Motion in Plane

143734 A particle moves in a circle of radius \(25 \mathrm{~cm}\) at two revolutions per second. The acceleration of the particle in meter per second \({ }^{2}\) is

1 \(\pi^{2}\)
2 \(8 \pi^{2}\)
3 \(4 \pi^{2}\)
4 \(2 \pi^{2}\)
Motion in Plane

143735 A police jeep is chasing with velocity of 45 \(\mathrm{km} / \mathrm{h}\), a thief in another jeep moving with velocity \(153 \mathrm{~km} / \mathrm{h}\). Police fires a bullet with muzzle velocity of \(180 \mathrm{~m} / \mathrm{s}\). The velocity with which it will strike the jeep of the thief, is

1 \(150 \mathrm{~m} / \mathrm{s}\)
2 \(27 \mathrm{~m} / \mathrm{s}\)
3 \(450 \mathrm{~m} / \mathrm{s}\)
4 \(250 \mathrm{~m} / \mathrm{s}\)
Motion in Plane

143736 A motor cyclist is riding North in still air at 36 \(\mathrm{km} / \mathrm{h}\), the wind starts blowing westward with a velocity \(18 \mathrm{~km} / \mathrm{h}\). The direction of apparent velocity is

1 \(\tan ^{-1} \frac{1}{2}\) West of North
2 \(\tan ^{-1} \frac{1}{2}\) North of West
3 \(\tan ^{-1} \frac{1}{2}\) East of North
4 \(\tan ^{-1} \frac{1}{2}\) North of East