Motion In A Plane

Question

A projectile is projected horizontally with velocity u. What will be the velocity of the projectile after time t ?

Solution

Let a projectile be projected with velocity u in horizontal direction.

straight v subscript straight x space and space straight v subscript straight y

are X and Y components of velocity at any instant, then

straight v subscript straight x equals straight u subscript straight x plus straight a subscript straight x straight t space space equals space u space a n d straight v subscript straight y equals straight u subscript straight y plus straight a subscript straight y straight t space equals space gt therefore space space space space straight v with rightwards arrow on top space equals space straight v subscript straight x straight i with hat on top space plus space straight v subscript straight y straight j with hat on top

Now manitude of resultant velocity is,

space space straight v equals square root of straight v subscript straight x superscript 2 plus straight v subscript straight y superscript 2 end root space space space space equals space square root of straight u squared plus straight g squared straight t squared end root

The angle which the velocity vector makes with horizontal is,

tanθ equals gt over straight u

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

A projectile is projected horizontally with velocity u. What will be the velocity of the projectile after time t ?

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

A projectile is projected horizontally with velocity u. What will be the velocity of the projectile after time t ?

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.