Home
Class 11
PHYSICS
The trajectory of a projectile in a vert...

The trajectory of a projectile in a vertical plane is `y=sqrt(3)x-2x^(2)`. `[g=10 m//s^(2)]`

Angle of projection `theta` is :-

A

`30^(@)`

B

`60^(@)`

C

`45^(@)`

D

`sqrt(3)` rad

Text Solution

Verified by Experts

The correct Answer is:
B

`y=sqrt(3)x-2x^(2)`
Trajectory equation is `y=x tan theta-(gx^(2))/(2u^(2) cos^(2) theta)`
`tan theta=sqrt(3)rArr theta=60^(@)` & `(g)/(2u^(2)cos^(2) theta)=2`
`rArr u=5/(2xx1/4)=sqrt(10)`
Doubtnut Promotions Banner Mobile Dark
|

Topper's Solved these Questions

  • KINEMATICS

    ALLEN |Exercise Comprehension#4|3 Videos
  • KINEMATICS

    ALLEN |Exercise Comprehension#5|6 Videos
  • KINEMATICS

    ALLEN |Exercise Comprehension#2|5 Videos
  • ERROR AND MEASUREMENT

    ALLEN |Exercise Part-2(Exercise-2)(B)|22 Videos
  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos

Similar Questions

Explore conceptually related problems

The trajectory of a projectile in a vertical plane is y=sqrt(3)x-2x^(2) . [g=10 m//s^(2)] Range OA is :-

The trajectory of a projectile in a vertical plane is y=sqrt(3)x-2x^(2) . [g=10 m//s^(2)] Time of flight of the projectile is :-

The trajectory of a projectile in a vertical plane is y=sqrt(3)x-2x^(2) . [g=10 m//s^(2)] Maximum height H is :-

The trajectory of a projectile in a vertical plane is y=sqrt(3)x-2x^(2) . [g=10 m//s^(2)] Radius of curvature of the path of the projectile at the topmost point P is :-

The equation of a projectile is y=sqrt(3)x-(gx^(2))/(2) the angle of projection is:-

A particle is projected in x-y plane with y- axis along vertical, the point of projection being origin. The equation of projectile is y = sqrt(3) x - (gx^(2))/(2) . The angle of projectile is ……………..and initial velocity is ………………… .

Trajectory of particle in a projectile motion is given as y=x- x^(2)/80 . Here, x and y are in meters. For this projectile motion, match the following with g=10 m//s^(2) . {:(,"Column-I",,"Column-II"),((A),"Angle of projection (in degrees)",(P),20),((B),"Angle of velocity with horizontal after 4s (in degrees)",(Q),80),((C),"Maximum height (in meters)",(R),45),((D),"Horizontal range (in meters)",(S),30),(,,(T),60):}

Assertion :- The trajectory of projectile in XY plane is quadratic in x and linear in y if x is independent of X- coordinate. Reason :- y- coordinate of trajetory is independent of x- coordinate.

The speed at the maximum height of a projectile is sqrt(3)/(2) times of its initial speed 'u' of projection Its range on the horizontal plane:-

The equation of projectile is y=16x-(x^(2))/(4) the horizontal range is:-