A particle is projected with velocity (3iˆ+4jˆ) m/s from horizontal. What will be the height attained by it when the velocity becomes perpendicular to acceleration?

Correct answer: A. 0.8 m

  • A. 0.8 m
  • B. 5 m
  • C. 0.4 m
  • D. 1.6 m

Explanation

When the velocity of the particle becomes perpendicular to acceleration, it indicates the maximum height attained by the projectile. At this point, the vertical component of the velocity is zero while the magnitude of the velocity remains constant. Therefore, the height attained by the particle is 0.8 meters.

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About Force and Motion

Displacement, velocity and acceleration describe motion, including the horizontal and vertical components of projectile motion. The chapter connects these quantities with Newton's laws, momentum and impulse, then applies conservation of momentum to collisions, distinguishing elastic collisions from inelastic ones.

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