The velocity of a particle P due east is 4 m/s, and that of another particle Q is 3 m/s due south. What is the velocity of P w.r.t Q?

Solution

Velocity space of space the space particle comma space straight v with rightwards harpoon with barb upwards on top subscript straight P space equals space OA with rightwards harpoon with barb upwards on top space equals space 4 space straight m divided by straight s comma space due space east straight v with rightwards harpoon with barb upwards on top subscript straight Q space equals space OB with rightwards harpoon with barb upwards on top space equals space 3 space straight m divided by straight s comma space due space south straight v with rightwards harpoon with barb upwards on top subscript PQ space equals space straight v with rightwards harpoon with barb upwards on top subscript straight P space minus space straight v with rightwards harpoon with barb upwards on top subscript straight Q space space space space space space space space space equals space straight v with rightwards harpoon with barb upwards on top subscript straight P space plus space left parenthesis negative straight v with rightwards harpoon with barb upwards on top subscript straight Q right parenthesis space space space space space space space space space equals space OA with rightwards harpoon with barb upwards on top space plus space OD with rightwards harpoon with barb upwards on top space Therefore comma space open vertical bar straight v with rightwards harpoon with barb upwards on top subscript PQ close vertical bar space equals space square root of 4 squared plus 3 squared end root space equals space 5 space straight m divided by straight s space tan space straight theta space equals space AC over OA space equals space OD over OA space equals space 3 over 4 space equals space 0.75 space rightwards double arrow space straight theta space equals space 36 to the power of straight o 52 apostrophe comma space in space north space of space east.

Some More Questions From Motion in A Plane Chapter

Name a quantity which is both scalar as well as vector.

Which of the followings is/are vector quantities: work, power, acceleration, mass, momentum?

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

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Motion In A Plane

The velocity of a particle P due east is 4 m/s, and that of another particle Q is 3 m/s due south. What is the velocity of P w.r.t Q?

Some More Questions From Motion in A Plane Chapter

Name a quantity which is both scalar as well as vector.

Which of the followings is/are vector quantities: work, power, acceleration, mass, momentum?

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

Give two examples of polar vectors.

What are axial vectors?

Give two examples of axial vectors.

What are tensors?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

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For Daily Free Study Material Join wiredfaculty

Motion In A Plane

The velocity of a particle P due east is 4 m/s, and that of another particle Q is 3 m/s due south. What is the velocity of P w.r.t Q?

Some More Questions From Motion in A Plane Chapter

Name a quantity which is both scalar as well as vector.

Which of the followings is/are vector quantities: work, power, acceleration, mass, momentum?

Pick up the odd one from the following: force, linear momentum, mass, impulse.

Pick out the only vector quantities in the following list:Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list: force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.

What are polar vectors?

Give two examples of polar vectors.

What are axial vectors?

Give two examples of axial vectors.

What are tensors?

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

Pick out the only vector quantities in the following list:
Temperature, pressure, impulse, time, power, total path length, energy, gravitational potential, coefficient of friction and charge.

Pick out the two scalar quantities in the following list:
force, angular momentum, work, current, linear momentum, electric field, average velocity, magnetic moment, reaction as per Newton’s third law, relative velocity.