A bullet fired from a gun with a velocity of 800 ft/s strikes the ground at the same level as the gun at a distance of 17320 ft. Find the angle of inclination with the horizontal at which the gun was fired.

Solution

Given that,
Distance of the gun, R = 17320 ft
Initial velocity, u = 800 ft./sec
Horizontal range is given by,
$straight R equals fraction numerator straight u squared space sin space 2 straight theta over denominator straight g end fraction$
Therefore,
$sin space 2 straight theta space equals space Rg over straight u squared space space space space space space space space space space space space equals space fraction numerator 17320 space cross times space 2 over denominator left parenthesis 800 right parenthesis squared end fraction space space space space space space space space space space space space equals space 0.866$
$rightwards double arrow$ $2 straight theta space equals space 60 degree$
$rightwards double arrow$ $straight theta space equals space 30 degree$ , is the angle of inclination with the horizontal at which the gun was fired.

Some More Questions From Motion in A Plane Chapter

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 bullet fired from a gun with a velocity of 800 ft/s strikes the ground at the same level as the gun at a distance of 17320 ft. Find the angle of inclination with the horizontal at which the gun was fired.

Some More Questions From Motion in A Plane Chapter

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.

What are polar vectors?

Give two examples of polar vectors.

What are axial vectors?

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 bullet fired from a gun with a velocity of 800 ft/s strikes the ground at the same level as the gun at a distance of 17320 ft. Find the angle of inclination with the horizontal at which the gun was fired.

Some More Questions From Motion in A Plane Chapter

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.

What are polar vectors?

Give two examples of polar vectors.

What are axial vectors?

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.