Physics-
General
Easy

Question

From an elevated point A, a stone is projected vertically upwards. When the stone reaches a distance hbelow A, its velocity is double of what was at a height above A. The greatest height attained by the stone is

  1. fraction numerator h over denominator 3 end fraction  
  2. fraction numerator 2 h over denominator 2 end fraction  
  3. fraction numerator h over denominator 2 end fraction  
  4. fraction numerator 5 h over denominator 3 end fraction  

The correct answer is: fraction numerator 5 h over denominator 3 end fraction


    Let u be the velocity with which the stone is projected vertically upwards.
    Given that, v subscript negative h end subscript equals 2 v subscript h end subscript
    open parentheses v subscript negative h end subscript close parentheses to the power of 2 end exponent equals 4 v subscript h end subscript superscript 2 end superscript
    therefore blank u to the power of 2 end exponent minus 2 g open parentheses negative h close parentheses equals 4 left parenthesis u to the power of 2 end exponent minus 2 g h right parenthesis
    therefore blank u to the power of 2 end exponent equals fraction numerator 10 g h over denominator 3 end fraction
    Now, h subscript m a x end subscript equals fraction numerator u to the power of 2 end exponent over denominator 2 g end fraction equals fraction numerator 5 h over denominator 3 end fraction

    Related Questions to study

    General
    Physics-

    Two bodies being a free fall from rest, from the same height 2s apart. How long after the first body begins to fall the two bodies will be 40m apart? (Take g equals 10 m s to the power of negative 2 end exponent)

    Two bodies being a free fall from rest, from the same height 2s apart. How long after the first body begins to fall the two bodies will be 40m apart? (Take g equals 10 m s to the power of negative 2 end exponent)

    Physics-General
    General
    Physics-

    The velocity of a body of mass 20 kg decreases from 20 blank m s to the power of negative 1 end exponent t o blank 5 blank m s to the power of negative 1 end exponent in a distance of 100 m. Force on the body is

    The velocity of a body of mass 20 kg decreases from 20 blank m s to the power of negative 1 end exponent t o blank 5 blank m s to the power of negative 1 end exponent in a distance of 100 m. Force on the body is

    Physics-General
    General
    Physics-

    The displacement of the particle varies with time according to the relation x equals fraction numerator k over denominator b end fraction open square brackets 1 minus e to the power of negative b t end exponent close square brackets.Then the velocity of the particle is

    The displacement of the particle varies with time according to the relation x equals fraction numerator k over denominator b end fraction open square brackets 1 minus e to the power of negative b t end exponent close square brackets.Then the velocity of the particle is

    Physics-General
    parallel
    General
    Physics-

    A train starts from station with an acceleration 1 m s to the power of negative 2 end exponent. A boy is 48 m behind the train with a constant velocity 10 m s to the power of negative 1 end exponent, the minimum time after which the boy will catch the train is

    A train starts from station with an acceleration 1 m s to the power of negative 2 end exponent. A boy is 48 m behind the train with a constant velocity 10 m s to the power of negative 1 end exponent, the minimum time after which the boy will catch the train is

    Physics-General
    General
    Physics-

    A particle starts from rest at t equals 0 and undergoes an acceleration a in m s to the power of negative 2 end exponent with time t in seconds which is as shown Which one of the following plot represents velocity V in m s to the power of negative 1 end exponent versus time t in seconds

    A particle starts from rest at t equals 0 and undergoes an acceleration a in m s to the power of negative 2 end exponent with time t in seconds which is as shown Which one of the following plot represents velocity V in m s to the power of negative 1 end exponent versus time t in seconds

    Physics-General
    General
    Physics-

    A particle is thrown vertically upwards. If it velocity at half of the maximum height is 10 blank m divided by s e c, then maximum height attained by it is (Take g equals 10 blank m divided by sec to the power of 2 end exponent invisible function application blank)

    A particle is thrown vertically upwards. If it velocity at half of the maximum height is 10 blank m divided by s e c, then maximum height attained by it is (Take g equals 10 blank m divided by sec to the power of 2 end exponent invisible function application blank)

    Physics-General
    parallel
    General
    Physics-

    The area under acceleration-time graph gives

    The area under acceleration-time graph gives

    Physics-General
    General
    Physics-

    If a freely falling body travels in the last second a distance equal to the distance travelled by it in the first three second, the time of the travel is

    If a freely falling body travels in the last second a distance equal to the distance travelled by it in the first three second, the time of the travel is

    Physics-General
    General
    Physics-

    A 120 blank mlong train is moving in a direction with speed 20 blank m divided by s. A train B moving with 30 blank m divided by s in the opposite direction and 130 blank m long crosses the first train in a time

    A 120 blank mlong train is moving in a direction with speed 20 blank m divided by s. A train B moving with 30 blank m divided by s in the opposite direction and 130 blank m long crosses the first train in a time

    Physics-General
    parallel
    General
    Physics-

    From a balloon rising vertically upwards as 5 blank m s to the power of negative 1 end exponent a stone is thrown up at 10 blank m s to the power of negative 1 end exponent relative to the balloon. Its velocity with respect to ground after 2 s is
    open parentheses a s s u m e blank g equals 10 blank m s to the power of negative 2 end exponent close parentheses

    From a balloon rising vertically upwards as 5 blank m s to the power of negative 1 end exponent a stone is thrown up at 10 blank m s to the power of negative 1 end exponent relative to the balloon. Its velocity with respect to ground after 2 s is
    open parentheses a s s u m e blank g equals 10 blank m s to the power of negative 2 end exponent close parentheses

    Physics-General
    General
    Physics-

    A body is thrown vertically up from the ground. It reaches a maximum height of 100 m in 5 s e c. After what time it will reach the ground from the maximum height position

    A body is thrown vertically up from the ground. It reaches a maximum height of 100 m in 5 s e c. After what time it will reach the ground from the maximum height position

    Physics-General
    General
    Physics-

    A particle starts from rest and experiences constant acceleration for 6 s. if it travels a distance d subscript 1 end subscript in the first two second, a distance d subscript 2 end subscript in the next two seconds and a distance d subscript 3 end subscript in the last two second, then

    A particle starts from rest and experiences constant acceleration for 6 s. if it travels a distance d subscript 1 end subscript in the first two second, a distance d subscript 2 end subscript in the next two seconds and a distance d subscript 3 end subscript in the last two second, then

    Physics-General
    parallel
    General
    Physics-

    The three initial and final position of a man on the x minusaxis are given as
    i) left parenthesis negative 8 m comma blank 7 m right parenthesis ii) left parenthesis 7 m comma blank minus 3 m right parenthesis and iii) left parenthesis negative 7 m comma blank 3 m right parenthesis
    Which pair gives the negative displacement

    The three initial and final position of a man on the x minusaxis are given as
    i) left parenthesis negative 8 m comma blank 7 m right parenthesis ii) left parenthesis 7 m comma blank minus 3 m right parenthesis and iii) left parenthesis negative 7 m comma blank 3 m right parenthesis
    Which pair gives the negative displacement

    Physics-General
    General
    Physics-

    A body A is thrown up vertically from the ground with a velocity V subscript 0 end subscript and another body B is simultaneously dropped from a height H. They meet at a height fraction numerator H over denominator 2 end fraction if V subscript 0 end subscript is equal to

    A body A is thrown up vertically from the ground with a velocity V subscript 0 end subscript and another body B is simultaneously dropped from a height H. They meet at a height fraction numerator H over denominator 2 end fraction if V subscript 0 end subscript is equal to

    Physics-General
    General
    Physics-

    A person travels along a straight road for the first half time with a velocity v subscript 1 end subscript and the next half time with a velocity v subscript 2 end subscript
    The mean velocity V of the man is

    A person travels along a straight road for the first half time with a velocity v subscript 1 end subscript and the next half time with a velocity v subscript 2 end subscript
    The mean velocity V of the man 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.