Physics-
General
Easy

Question

A particle starts from rest, acceleration at 2 blank m divided by s to the power of 2 end exponent for 10 blank s and then goes with constant speed for 30 blank s and then decelerates at 4 blank m divided by s to the power of 2 end exponent till it stops. What is the distance travelled by it

  1. 750 blank m  
  2. 800 blank m  
  3. 700 blank m  
  4. 850 blank m  

The correct answer is: 750 blank m


    Velocity required by body in 10 blank s e c
    v equals 0 plus 2 cross times 10 equals 20 blank m divided by s
    And distance travelled by it in 10 blank s e c
    S subscript 1 end subscript equals fraction numerator 1 over denominator 2 end fraction cross times 2 cross times open parentheses 10 close parentheses to the power of 2 end exponent equals 100 blank m
    Then it moves with constant velocity left parenthesis 20 blank m divided by s right parenthesis for 30 blank s e c
    S subscript 2 end subscript equals 20 cross times 30 equals 600 blank m
    After that due to retardation left parenthesis 4 blank m divided by s to the power of 2 end exponent right parenthesis it stops
    S subscript 3 end subscript equals fraction numerator v to the power of 2 end exponent over denominator 2 a end fraction equals fraction numerator open parentheses 20 close parentheses to the power of 2 end exponent over denominator 2 cross times 4 end fraction equals 50 m
    Total distance travelled S subscript 1 end subscript plus S subscript 2 end subscript plus S subscript 3 end subscript equals 750 m

    Related Questions to study

    General
    Physics-

    A Body moves 6 m blanknorth.8 m east and 10blank m vertically upwards, what is its resultant displacement from initial position

    A Body moves 6 m blanknorth.8 m east and 10blank m vertically upwards, what is its resultant displacement from initial position

    Physics-General
    General
    Physics-

    Which of the following graphs can not possibly represent one dimensional motion of a particle

    Which of the following graphs can not possibly represent one dimensional motion of a particle

    Physics-General
    General
    Physics-

    A particle moves along a parabolic path y equals 9 x to the power of 2 end exponent in such a way that the x-component of velocity remains constant and has a value fraction numerator 1 over denominator blank 3 end fraction m s to the power of negative 1 end exponent. The acceleration of the particle is

    A particle moves along a parabolic path y equals 9 x to the power of 2 end exponent in such a way that the x-component of velocity remains constant and has a value fraction numerator 1 over denominator blank 3 end fraction m s to the power of negative 1 end exponent. The acceleration of the particle is

    Physics-General
    parallel
    General
    Physics-

    When a ball is thrown up vertically with velocity V subscript 0 end subscript , it reaches a maximum height of ´ h ´. If one wishes to triple the maximum height then the ball should be thrown with velocity

    When a ball is thrown up vertically with velocity V subscript 0 end subscript , it reaches a maximum height of ´ h ´. If one wishes to triple the maximum height then the ball should be thrown with velocity

    Physics-General
    General
    Physics-

    A body is projected vertically upwards. The times corresponding to height h while ascending and while descending are t subscript 1 end subscript blank a n d blank t subscript 2 end subscript respectively. Then the velocity of projection is (g is acceleration due to gravity)

    A body is projected vertically upwards. The times corresponding to height h while ascending and while descending are t subscript 1 end subscript blank a n d blank t subscript 2 end subscript respectively. Then the velocity of projection is (g is acceleration due to gravity)

    Physics-General
    General
    Physics-

    A body falls from rest, its velocity at the end of first second is left parenthesis g equals 32 f t divided by s e c right parenthesis

    A body falls from rest, its velocity at the end of first second is left parenthesis g equals 32 f t divided by s e c right parenthesis

    Physics-General
    parallel
    General
    Physics-

    A body falling for 2 seconds covers a distance S blankis equal to that covered in next second. Taking g equals 10 m divided by s to the power of 2 end exponent,blank S equals

    A body falling for 2 seconds covers a distance S blankis equal to that covered in next second. Taking g equals 10 m divided by s to the power of 2 end exponent,blank S equals

    Physics-General
    General
    Physics-

    What determines the nature of the path followed by the particle

    What determines the nature of the path followed by the particle

    Physics-General
    General
    Physics-

    Which of the following graphs can not possibly represent one dimensional motion of a particle

    Which of the following graphs can not possibly represent one dimensional motion of a particle

    Physics-General
    parallel
    General
    Physics-

    A particle located at x equals 0 at time t equals 0, starts moving along the positive x-direction with a velocity ‘v’ that varies as v equals a square root of x. The displacement of the particle varies with time as

    A particle located at x equals 0 at time t equals 0, starts moving along the positive x-direction with a velocity ‘v’ that varies as v equals a square root of x. The displacement of the particle varies with time as

    Physics-General
    General
    Physics-

    If a body is thrown up with the velocity of 15 blank m divided by s then maximum height attained by the body is (g equals 10 blank m divided by s to the power of 2 end exponent)

    If a body is thrown up with the velocity of 15 blank m divided by s then maximum height attained by the body is (g equals 10 blank m divided by s to the power of 2 end exponent)

    Physics-General
    General
    Physics-

    A boat crosses a river from port A to port B, which are just on the opposite side. The speed of the water is V subscript W end subscript and that of boat is V subscript B end subscript relative to still water. Assume V subscript B end subscript equals 2 V subscript W end subscript. What is the time taken by the boat, if It has to cross the river directly on the A B line

    A boat crosses a river from port A to port B, which are just on the opposite side. The speed of the water is V subscript W end subscript and that of boat is V subscript B end subscript relative to still water. Assume V subscript B end subscript equals 2 V subscript W end subscript. What is the time taken by the boat, if It has to cross the river directly on the A B line

    Physics-General
    parallel
    General
    Physics-

    The effective acceleration of a body, when thrown upwards with acceleration a will be:

    The effective acceleration of a body, when thrown upwards with acceleration a will be:

    Physics-General
    General
    Physics-

    A body released from a great height falls freely towards the earth. Another body is released from the same height exactly one second later. The separation between the two bodies two second after the release of the second body is

    A body released from a great height falls freely towards the earth. Another body is released from the same height exactly one second later. The separation between the two bodies two second after the release of the second body is

    Physics-General
    General
    Physics-

    If a car at rest accelerates uniformly to a speed of 144 k m divided by h in 20 s. Then it covers a distance of

    If a car at rest accelerates uniformly to a speed of 144 k m divided by h in 20 s. Then it covers a distance of

    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.