Physics-
General
Easy

Question

The horizontal range and the maximum height of a projectile are equal. The angle of projection of the projectile is

  1. theta equals tan to the power of negative 1 end exponent invisible function application open parentheses fraction numerator 1 over denominator 4 end fraction close parentheses  
  2. theta equals tan to the power of negative 1 end exponent invisible function application open parentheses 4 close parentheses  
  3. theta equals tan to the power of negative 1 end exponent invisible function application open parentheses 2 close parentheses  
  4. theta equals 45 degree  

The correct answer is: theta equals tan to the power of negative 1 end exponent invisible function application open parentheses 4 close parentheses


    Horizontal range
    R equals fraction numerator u to the power of 2 end exponent sin invisible function application 2 theta over denominator g end fraction(i)
    Maximum height
    H equals fraction numerator u to the power of 2 end exponent sin to the power of 2 end exponent invisible function application theta over denominator 2 g end fraction(ii)
    Here (i)=(ii)
    fraction numerator u to the power of 2 end exponent sin invisible function application 2 theta over denominator g end fraction equals fraction numerator u to the power of 2 end exponent sin to the power of 2 end exponent invisible function application theta over denominator 2 g end fraction
    2 cos invisible function application theta equals fraction numerator sin invisible function application theta over denominator 2 end fraction
    theta equals tan to the power of negative 1 end exponent invisible function application left parenthesis 4 right parenthesis

    Related Questions to study

    General
    Physics-

    A projectile is fired at an angle of 30 degree to the horizontal such that the vertical component of its initial velocity is 80 blank m s to the power of negative 1 end exponent. Its time of flight is T. Its velocity at t equals fraction numerator T over denominator 4 end fraction has a magnitude of nearly

    A projectile is fired at an angle of 30 degree to the horizontal such that the vertical component of its initial velocity is 80 blank m s to the power of negative 1 end exponent. Its time of flight is T. Its velocity at t equals fraction numerator T over denominator 4 end fraction has a magnitude of nearly

    Physics-General
    General
    Physics-

    What should be the angular velocity of earth so that a body on its equator is weightless?

    What should be the angular velocity of earth so that a body on its equator is weightless?

    Physics-General
    General
    Physics-

    A body of mass m hangs at one end of a string of length l, the other end of which is fixed. It is given a horizontal velocity so that the string would just reach where it makes an angle of 60 degree with the vertical. The tension in the string at mean position is

    A body of mass m hangs at one end of a string of length l, the other end of which is fixed. It is given a horizontal velocity so that the string would just reach where it makes an angle of 60 degree with the vertical. The tension in the string at mean position is

    Physics-General
    parallel
    General
    Physics-

    A car sometimes overturns while taking a turn. When it overturns, it is

    A car sometimes overturns while taking a turn. When it overturns, it is

    Physics-General
    General
    Physics-

    The equation of trajectory of a projectile is y equals 10 x minus open parentheses fraction numerator 5 over denominator 9 end fraction close parentheses x to the power of 2 end exponent. if we assume g equals 10 m s to the power of negative 2 end exponent, the range of projectile (in metre) is

    The equation of trajectory of a projectile is y equals 10 x minus open parentheses fraction numerator 5 over denominator 9 end fraction close parentheses x to the power of 2 end exponent. if we assume g equals 10 m s to the power of negative 2 end exponent, the range of projectile (in metre) is

    Physics-General
    General
    Physics-

    Given stack r with rightwards arrow on top equals 4 stack j with hat on topand stack p with rightwards arrow on top equals 2 stack i with hat on top plus 3 stack j with hat on top plus stack k with hat on top. The angular momentum is

    Given stack r with rightwards arrow on top equals 4 stack j with hat on topand stack p with rightwards arrow on top equals 2 stack i with hat on top plus 3 stack j with hat on top plus stack k with hat on top. The angular momentum is

    Physics-General
    parallel
    General
    Physics-

    A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position X are respected by

    A boy throws a cricket ball from the boundary to the wicket-keeper. If the frictional force due to air cannot be ignored, the forces acting on the ball at the position X are respected by
    Physics-General

    General
    Physics-

    A bomb is dropped from an aeroplane flying horizontally with a velocity 469 blank m s to the power of negative 1 end exponent at an altitude of 980 m. The bomb will hit the ground after a time

    A bomb is dropped from an aeroplane flying horizontally with a velocity 469 blank m s to the power of negative 1 end exponent at an altitude of 980 m. The bomb will hit the ground after a time

    Physics-General
    General
    Physics-

    A stone tied to one end of rope and rotated in a circular motion. If the string suddenly breaks, then the stone travels

    A stone tied to one end of rope and rotated in a circular motion. If the string suddenly breaks, then the stone travels

    Physics-General
    parallel
    General
    Physics-

    Two vectors stack A with rightwards arrow on top and stack B with rightwards arrow on top are inclined at an angle theta. Now if the vectors are interchanged then the resultant turns through an angle beta. Which of the following relation is true

    Two vectors stack A with rightwards arrow on top and stack B with rightwards arrow on top are inclined at an angle theta. Now if the vectors are interchanged then the resultant turns through an angle beta. Which of the following relation is true

    Physics-General
    General
    Physics-

    A ball is projected with velocity V subscript o end subscript at an angle of elevation 30 degree . Mark the correct statement

    A ball is projected with velocity V subscript o end subscript at an angle of elevation 30 degree . Mark the correct statement

    Physics-General
    General
    Physics-

    An object moves at a constant speed along a circular path in a horizontal X Y plane, with the centre at the origin. When the object is at x equals negative 2 m, its velocity is negative left parenthesis 4 m divided by s right parenthesis stack j with hat on top. What is the object’s acceleration when it is y equals 2 m

    An object moves at a constant speed along a circular path in a horizontal X Y plane, with the centre at the origin. When the object is at x equals negative 2 m, its velocity is negative left parenthesis 4 m divided by s right parenthesis stack j with hat on top. What is the object’s acceleration when it is y equals 2 m

    Physics-General
    parallel
    General
    Physics-

    The horizontal range of a projectile is 4 square root of 3 times its maximum height. Its angle of projection will be

    The horizontal range of a projectile is 4 square root of 3 times its maximum height. Its angle of projection will be

    Physics-General
    General
    Physics-

    A projectile can have the same range R for two angles of projection. If T subscript 1 end subscript and blank T subscript 2 end subscriptbe the times of flights in the two cases, then the product of the two times of flights is directly proportional to

    A projectile can have the same range R for two angles of projection. If T subscript 1 end subscript and blank T subscript 2 end subscriptbe the times of flights in the two cases, then the product of the two times of flights is directly proportional to

    Physics-General
    General
    Physics-

    A vector stack A with rightwards arrow on top points vertically upwards and stack B with rightwards arrow on top points upwards North. The vector product stack A with rightwards arrow on top cross times blank stack B with rightwards arrow on top is

    A vector stack A with rightwards arrow on top points vertically upwards and stack B with rightwards arrow on top points upwards North. The vector product stack A with rightwards arrow on top cross times blank stack B with rightwards arrow on top is

    Physics-General
    parallel

    card img

    With Turito Academy.

    card img

    With Turito Foundation.

    card img

    Get an Expert Advice From Turito.

    Turito Academy

    card img

    With Turito Academy.

    Test Prep

    card img

    With Turito Foundation.