Find distance

The equation of trajectory of a projectile is given by
y = ax - bx2
Find total distance travelled till the body reaches the highest point.

12 Answers

3
iitimcomin ·

okie so dy/dx = 0 (maxima/mimnima condition)

a - 2bx =0 ...... x = a/2b ...............

[obuisly this is maxima only cuz minima is 0)

3
iitimcomin ·

oh!!if u want total distance and not only x then..........

ymax = a2/2b - a2/4b .......

= a2/4b .............

total distance = √x2+y2

62
Lokesh Verma ·

this is kind of standard..

you have to integrate ds

ds2 = dy2+dx2

dy=(a-2bx)dx

ds= √dy2+dx2= √(a2+1-2abx+4b2x2)dx

now this can be solved...

you limits of integration will have te be from x=0 to x=a/2b

106
Asish Mahapatra ·

shraman Vy = dy/dt (dy/dx) howw???????

62
Lokesh Verma ·

@iitimcoming this is nto the total displacement question..

you have to find the distance travelled :)

3
iitimcomin ·

sir ive done that ... see second post sir!!!!

106
Asish Mahapatra ·

thx nishant sir.. (but its not my question)

3
iitimcomin ·

hey ashish sorry that was a typo .. i first thought of velocity then i decided to do this!!!

62
Lokesh Verma ·

iitimcoming.. i dont think what you are doing is correct...

or I am not understanding what you are doing correctly.

3
iitimcomin ·

ohh... i got my mistake ... sorry didnt read the question properly[2]

3
iitimcomin ·

took disp. instead of distance .... very sorry!!!!!!!!!!

62
Lokesh Verma ·

:)

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