Physics-
General
Easy

Question

A projectile is fired vertically upwards with an initial velocity u. After an interval of T seconds a second projectile is fired vertically upwards, also with initial velocity is

  1. They meet at time t equals fraction numerator u over denominator g end fraction and at a height fraction numerator u to the power of 2 end exponent over denominator 2 G end fraction plus fraction numerator g T to the power of 2 end exponent over denominator 8 end fraction  
  2. They meet at time t equals fraction numerator u over denominator g end fraction plus fraction numerator T over denominator 2 end fraction and at a height fraction numerator u to the power of 2 end exponent over denominator 2 g end fraction plus fraction numerator g T to the power of 2 end exponent over denominator 8 end fraction  
  3. They meet at time t equals fraction numerator u over denominator g end fraction plus fraction numerator T over denominator 2 end fraction and at a height fraction numerator u to the power of 2 end exponent over denominator 2 g end fraction minus fraction numerator g T to the power of 2 end exponent over denominator 8 end fraction  
  4. They never meet  

The correct answer is: They meet at time t equals fraction numerator u over denominator g end fraction plus fraction numerator T over denominator 2 end fraction and at a height fraction numerator u to the power of 2 end exponent over denominator 2 g end fraction minus fraction numerator g T to the power of 2 end exponent over denominator 8 end fraction


    For first projectile, h subscript 1 end subscript equals u t minus fraction numerator 1 over denominator 2 end fraction g t to the power of 2 end exponent
    For second projectile, h subscript 2 end subscript equals u open parentheses t minus T close parentheses minus fraction numerator 1 over denominator 2 end fraction g open parentheses t minus T close parentheses to the power of 2 end exponent
    When both meet i.e. h subscript 1 end subscript equals h subscript 2 end subscript
    u t minus fraction numerator 1 over denominator 2 end fraction g t to the power of 2 end exponent equals u open parentheses t minus T close parentheses minus fraction numerator 1 over denominator 2 end fraction g open parentheses t minus T close parentheses to the power of 2 end exponent
    rightwards double arrow u T plus fraction numerator 1 over denominator 2 end fraction g T to the power of 2 end exponent equals g t T rightwards double arrow t equals fraction numerator u over denominator g end fraction plus fraction numerator T over denominator 2 end fraction
    and h subscript 1 end subscript equals u open parentheses fraction numerator u over denominator g end fraction plus fraction numerator T over denominator 2 end fraction close parentheses minus fraction numerator 1 over denominator 2 end fraction g open parentheses fraction numerator u over denominator g end fraction plus fraction numerator T over denominator 2 end fraction close parentheses to the power of 2 end exponent
    equals fraction numerator u to the power of 2 end exponent over denominator 2 g end fraction minus fraction numerator g T to the power of 2 end exponent over denominator 8 end fraction

    Related Questions to study

    General
    Physics-

    Free fall of an object (in vacuum) is a case of motion with

    Free fall of an object (in vacuum) is a case of motion with

    Physics-General
    General
    Physics-

    A car moves a distance of 200 blank m. It covers first half of the distance at speed 60 blank k m h to the power of negative 1 end exponent and the second half at speed v. If the average speed is 40 blank k m h to the power of negative 1 end exponent, the value of v is

    A car moves a distance of 200 blank m. It covers first half of the distance at speed 60 blank k m h to the power of negative 1 end exponent and the second half at speed v. If the average speed is 40 blank k m h to the power of negative 1 end exponent, the value of v is

    Physics-General
    General
    Physics-

    A ball is dropped on the floor from a height of 10 blank m. It rebounds to a height of 2.5 m. If the ball is in contact with the floor for 0.01 sec, the average acceleration during contact is

    A ball is dropped on the floor from a height of 10 blank m. It rebounds to a height of 2.5 m. If the ball is in contact with the floor for 0.01 sec, the average acceleration during contact is

    Physics-General
    parallel
    General
    Physics-

    A particle moving with a uniform acceleration travels 24 m and 64 m blankin the first two consecutive intervals of 4 s e c each.
    Its initial velocity is

    A particle moving with a uniform acceleration travels 24 m and 64 m blankin the first two consecutive intervals of 4 s e c each.
    Its initial velocity is

    Physics-General
    General
    Physics-

    A bullet is fired with a speed of 1000 blank m divided by s e c in order to hit a target 100 blank m away. If g equals 10 blank m divided by s to the power of 2 end exponent, the gun should be aimed

    A bullet is fired with a speed of 1000 blank m divided by s e c in order to hit a target 100 blank m away. If g equals 10 blank m divided by s to the power of 2 end exponent, the gun should be aimed

    Physics-General
    General
    Physics-

    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

    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

    Physics-General
    parallel
    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

    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.