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Can there be a motion in two dimensions ...

Can there be a motion in two dimensions with an acceleration only in one direction?

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Yes, in projectile motion , the projectile follows a parabolic path but the aceeleration acts in vertically downward direction only.
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Projectile motion is a combination of two one-dimensional motion: one in horizontal and other in vertical direction. Motion in 2D means in a plane. Necessary condition for 2D motion is that the velocity vector is coplanar to the acceleration vector. In case of projectile motion, the angle between velocity and acceleration will be 0^@ltthetalt180^@ . During the projectile motion, the horizontal component of velocity ramains unchanged but the vertical component of velocity is time dependent. Now answer the following questions: A particle is projected from the origin in the x-y plane. The acceleration of particle in negative y-direction is alpha . If equation of path of the particle is y = ax - bx^2 , then initial velocity of the particle is

MODERN PUBLICATION-MOTION IN A PLANE -Revision Exercises (very Short Answer Questions)
  1. What will be the value of vecA. (vec(B)(C)) if vecA, vecB, vecC are pe...

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  2. Under what condition, the three vectors (i) cannot giv zero resultant ...

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  3. What is a projectile ? Give its examples. Show that the path of projec...

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  4. TRAJECTORY OF HORIZONTAL PROJECTILE

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  5. Define time of flight for a projectile .

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  6. The horizontal range for projectile is given by

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  7. What do you mean by maximum height attained by a projectile ?

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  8. What do you mean by angular displacement ? Is it a scalar or vector ?

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  9. What is angular velocity ? What is its unit?

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  10. What is centriprtal acceleration ? In which direction it acts ?

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  11. Can there be a motion in two dimensions with an acceleration only in o...

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  12. A ball is thrown straight up. What is its velocity and acceleration at...

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  13. CENTRIFUGAL FORCE

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  14. At which angle the maximum height attained by aprojectile is maximum ?

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  15. What will be the ratio of time of flights of two projectiles fired at...

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  16. Two bodies of masses 4 kg and 6 kg are thrown with the same velocity i...

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  17. What is the angle between velocity vector and acceleration vector in u...

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  18. A projectile is fired from horizontal at an angle theta . What are the...

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  19. A body is projected at angle of 45^(@) to the horizontal . What is its...

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  20. A body is thrown with a kinetic energy of 5 j. What will be its kineti...

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