The range of a particle, when launched at an angle of 15^o with the horizontal, is 1.5 km. What is the range of the projectile when launched at an angle of 45^o to the horizontal?

Solution

Given that,

$space space space space space space fraction numerator straight u squared space sin space 2 space straight x space 15 to the power of straight o over denominator straight g end fraction space equals space 1.5 space rightwards double arrow space space space space space space space space space space straight u squared over straight g space straight x space 1 half space equals space 1.5 rightwards double arrow space space space space space space space space space space space space space space straight u squared over straight g space equals space 3 space km space$
Horizontal range for angle of projection 45^o will be,

$straight R space equals space straight u squared over straight g space sin space 2 space straight x space 45 to the power of straight o space space space space space equals straight u squared over straight g space sin space 90 to the power of straight o space equals space 3 space km space$
That is the range of projectile is 3 km.

Some More Questions From Motion in A Plane Chapter

Pick out the only vector quantities in the following list:
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Motion In A Plane

The range of a particle, when launched at an angle of 15^o with the horizontal, is 1.5 km. What is the range of the projectile when launched at an angle of 45^o to the horizontal?

Some More Questions From Motion in A Plane Chapter

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.

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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For Daily Free Study Material Join wiredfaculty

Motion In A Plane

The range of a particle, when launched at an angle of 15o with the horizontal, is 1.5 km. What is the range of the projectile when launched at an angle of 45o to the horizontal?

Some More Questions From Motion in A Plane Chapter

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.

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.

Mock Test Series

NCERT Sample Papers

Entrance Exams Preparation

The range of a particle, when launched at an angle of 15^o with the horizontal, is 1.5 km. What is the range of the projectile when launched at an angle of 45^o to the horizontal?

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.