Physics-
General
Easy

Question

A cyclist starts from the centre O of a circular park of radius one kilometre, reaches the edge P of the park, then cycles along the circumference and returns to the centre along Q O as shown in figure. If the round trip takes ten minutes, the net displacement and average speed of the cyclist (in metre and kilometre per hour) is

  1. 0 comma blank 1    
  2. fraction numerator pi plus 4 over denominator 2 end fraction comma blank 0    
  3. 21.4 comma fraction numerator pi plus 4 over denominator 2 end fraction    
  4. 0 comma blank 21.4    

The correct answer is: 0 comma blank 21.4


    Net displacement equals 0 and total distance equals O P plus P Q plus Q O
    equals 1 plus fraction numerator 2 pi cross times 1 over denominator 4 end fraction plus 1 equals fraction numerator 14.28 over denominator 4 end fraction blank k m
    Average speedblank equals fraction numerator 14.28 over denominator 4 cross times 10 divided by 60 end fraction
    equals fraction numerator 6 cross times 14.28 over denominator 4 end fraction equals 21.42 blank k m divided by h

    Related Questions to study

    General
    maths-

    If Tanp space theta equals Cotq space theta then solutions of theta are in -

    If Tanp space theta equals Cotq space theta then solutions of theta are in -

    maths-General
    General
    maths-

    In capital delta A B C comma I f a comma b, care in H.P., then Sin invisible function application 2 A over 2 , Sin2 fraction numerator B over denominator 2 end fraction , Sin2 fraction numerator C over denominator 2 end fraction are in

    In capital delta A B C comma I f a comma b, care in H.P., then Sin invisible function application 2 A over 2 , Sin2 fraction numerator B over denominator 2 end fraction , Sin2 fraction numerator C over denominator 2 end fraction are in

    maths-General
    General
    maths-

    Solution of Tan space x plus Tan space open parentheses 120 to the power of 6 plus x close parentheses plus Tan space open parentheses x minus 120 to the power of ring operator close parentheses equals 0 is

    Solution of Tan space x plus Tan space open parentheses 120 to the power of 6 plus x close parentheses plus Tan space open parentheses x minus 120 to the power of ring operator close parentheses equals 0 is

    maths-General
    parallel
    General
    maths-

    If Tan space bold A plus Tan space 2 bold A plus square root of 3 Tan space bold ATan 2 bold A equals square root of 3 then the general solution of A over 2 equals

    If Tan space bold A plus Tan space 2 bold A plus square root of 3 Tan space bold ATan 2 bold A equals square root of 3 then the general solution of A over 2 equals

    maths-General
    General
    physics-

    The graph between the displacement x and t for a particle moving in a straight line is shown in figure. During the interval O A comma A B comma B C and C D comma the acceleration of the particle is

    O A comma blank A B comma blank B C, C D

    The graph between the displacement x and t for a particle moving in a straight line is shown in figure. During the interval O A comma A B comma B C and C D comma the acceleration of the particle is

    O A comma blank A B comma blank B C, C D

    physics-General
    General
    maths-

    tan space open parentheses pi over 4 plus x over 2 close parentheses minus tan space open parentheses pi over 4 minus x over 2 close parentheses equals 2 then the general solution of x =

    tan space open parentheses pi over 4 plus x over 2 close parentheses minus tan space open parentheses pi over 4 minus x over 2 close parentheses equals 2 then the general solution of x =

    maths-General
    parallel
    General
    physics-

    Velocity-time left parenthesis v-t right parenthesis graph for a moving object is shown in the figure. Total displacement of the object during the same interval when there is non-zero acceleration and retardation is

    Velocity-time left parenthesis v-t right parenthesis graph for a moving object is shown in the figure. Total displacement of the object during the same interval when there is non-zero acceleration and retardation is

    physics-General
    General
    maths-

    In capital delta A B C comma R to the power of 2 end exponent left parenthesis blank s i n blank 2 A plus blank s i n blank 2 B plus blank s i n blank 2 C right parenthesis equals

    In capital delta A B C comma R to the power of 2 end exponent left parenthesis blank s i n blank 2 A plus blank s i n blank 2 B plus blank s i n blank 2 C right parenthesis equals

    maths-General
    General
    maths-

    3 Sin space x plus 4 Cos space x minus 6 equals 0 then the general solution of bold x =

    3 Sin space x plus 4 Cos space x minus 6 equals 0 then the general solution of bold x =

    maths-General
    parallel
    General
    maths-

    Solution of Cot squared space theta plus open parentheses square root of 3 plus fraction numerator 1 over denominator square root of 3 end fraction close parentheses Cot space theta plus 1 equals 0 is

    Solution of Cot squared space theta plus open parentheses square root of 3 plus fraction numerator 1 over denominator square root of 3 end fraction close parentheses Cot space theta plus 1 equals 0 is

    maths-General
    General
    maths-

    The general solution of  fraction numerator tan space 5 x minus tan space 4 x over denominator 1 plus tan space 5 x tan space 4 x end fraction equals 1 is

    The general solution of  fraction numerator tan space 5 x minus tan space 4 x over denominator 1 plus tan space 5 x tan space 4 x end fraction equals 1 is

    maths-General
    General
    maths-

    If Sin space A equals Sin space B comma Cos space A equals Cos space B text  then  end text A equals

    If Sin space A equals Sin space B comma Cos space A equals Cos space B text  then  end text A equals

    maths-General
    parallel
    General
    maths-

    In capital delta A B C comma capital sigma a to the power of 3 end exponent blank c o s blank(B-C) equals

    In capital delta A B C comma capital sigma a to the power of 3 end exponent blank c o s blank(B-C) equals

    maths-General
    General
    maths-

    If cot space theta minus tan space theta equals 2 then principal value of theta

    If cot space theta minus tan space theta equals 2 then principal value of theta

    maths-General
    General
    maths-

    If 3cos θsin θ=1 then θ=

    If 3cos θsin θ=1 then θ=

    maths-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.