Home
Class 11
PHYSICS
Path traced by a moving particle in spac...

Path traced by a moving particle in space is called trajectory of the particle. Shape of trajectiry is decided by the forces acting on the particle. When a coordinate system is associated with a particle motion, the curve equation in which the particle moves `[y=f(x)]` is called equation of trajectory. It is just giving us the relation among x and y coordinates of the particle i.e. the locus of particle. To find equation of trajectory of a particle, find first x and y coordinates of the particle as a function of time eliminate the time factor.
The position vector of car w.r.t. its starting point is given as `vec(r)=at hat(i)- bt^(2) hat(j)` where a and b are positive constants. The locus of a particle is:-

A

`a^(2)y+bx^(2)=0`

B

`a^(2)y=bx^(2)`

C

`y=b/a^(2)`

D

`ay^(2)=b^(2)x`

Text Solution

Verified by Experts

The correct Answer is:
A
`x=at, y=-bt^(2) rArr a^(2)y+bx^(2)=0`
Promotional Banner

Topper's Solved these Questions

  • MISCELLANEOUS

    ALLEN |Exercise Comprehension 4|6 Videos

  • MISCELLANEOUS

    ALLEN |Exercise DATA SUFFICIENCY QUESTIONS|3 Videos

  • MISCELLANEOUS

    ALLEN |Exercise Comprehension 2|8 Videos

  • KINEMATICS (MOTION ALONG A STRAIGHT LINE AND MOTION IN A PLANE)

    ALLEN |Exercise BEGINNER S BOX-7|8 Videos

  • PHYSICAL WORLD, UNITS AND DIMENSIONS & ERRORS IN MEASUREMENT

    ALLEN |Exercise EXERCISE-IV|7 Videos

Similar Questions

Explore conceptually related problems

Path traced by a moving particle in space is called trajectory of the particle. Shape of trajectiry is decided by the forces acting on the particle. When a coordinate system is associated with a particle motion, the curve equation in which the particle moves [y=f(x)] is called equation of trajectory. It is just giving us the relation among x and y coordinates of the particle i.e. the locus of particle. To find equation of trajectory of a particle, find first x and y coordinates of the particle as a function of time eliminate the time factor. In above the velocity (i.e. (dvec(r))/(dt)) at t=0 is :-

Path traced by a moving particle in space is called trajectory of the particle. Shape of trajectiry is decided by the forces acting on the particle. When a coordinate system is associated with a particle motion, the curve equation in which the particle moves [y=f(x)] is called equation of trajectory. It is just giving us the relation among x and y coordinates of the particle i.e. the locus of particle. To find equation of trajectory of a particle, find first x and y coordinates of the particle as a function of time eliminate the time factor. In above question initial acceleration (i.e. (d^(2)vec(r))/(dt^(2))) of particle is :-

Discuss the forces acting on the n particles in a system.

The motion of a particle of mass m is described by y = ut + 1/2 "gt"^2 . Find the force acting on the particle.

The momentum of a moving particle given by p=tl nt . Net force acting on this particle is defined by equation F=(dp)/(dt) . The net force acting on the particle is zero at time

A particle is moving in a circle:

If the external force acting on a system of particle is zero then …………..

The equation of motion of a particle is x= a cos (alpha t)^(2) . The motion is………..

Figure shows the displacement of a particle going along the X-axis as a function of time. The force acting on the particle is zero in the region

A particle is moving with velocity vecv = k( y hat(i) + x hat(j)) , where k is a constant . The genergal equation for its path is