Motion In A Plane

Question

The horizontal range of projectile is 4 times the maximum height attained by the projectile. What is the angle of projection?

Solution

Given,
Horizontal range is equal to 4 times the maximum height attained by the projectile.
Therefore,

space space space space space space fraction numerator straight u squared over denominator 2 straight g end fraction sin 2 theta space equals 4 space fraction numerator u squared sin squared theta over denominator 2 g end fraction i. e. comma space space space space sin space 2 theta space equals space 4 sin squared theta space space left square bracket because space sin space 2 theta space equals space 2 space sin theta space cos theta right square bracket rightwards double arrow space space space space space space space space space fraction numerator sin space theta over denominator cos space theta end fraction space equals space 1 rightwards double arrow space space space space space space space space space space space tan space theta space equals space 1 rightwards double arrow space space space space space space space space space space space space theta space equals space 45 to the power of o

So, angle of projection is 45°.

Some More Questions From Motion in A Plane Chapter

What is a scalar quantity?

What is a vector quantity?

Give three examples of scalar quantities.

Give three examples of vector quantities.

What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

Is a physical quantity, having a direction, necessarily a vector?

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.

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Motion In A Plane

The horizontal range of projectile is 4 times the maximum height attained by the projectile. What is the angle of projection?

Some More Questions From Motion in A Plane Chapter

What is a scalar quantity?

What is a vector quantity?

Give three examples of scalar quantities.

Give three examples of vector quantities.

What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

Is a physical quantity, having a direction, necessarily a vector?

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.

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 horizontal range of projectile is 4 times the maximum height attained by the projectile. What is the angle of projection?

Some More Questions From Motion in A Plane Chapter

What is a scalar quantity?

What is a vector quantity?

Give three examples of scalar quantities.

Give three examples of vector quantities.

What are the basic characteristics that a quantity must possess so that it may be a vector quantity?

Is a physical quantity, having a direction, necessarily a vector?

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.

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.