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NEETPhysicsMotion in Two Dimensions

Assertion (A) The velocity of a projectile at a point on its trajectory is equal to the slope at that point. Reason (R) The velocity vector at a point always along the tangent to the trajectory at that point.

Options

  1. ABoth A and R are true and R is the correct explanation of A
  2. BBoth A and R are true but R is not the correct explanation of A
  3. CA is true but R is false
  4. DA is false but R is true

Correct answer

D. A is false but R is true

Step-by-step solution

Trajectory of a projectice is of form aligned & y=f(x)=x - g x^2 2 u^2 ^2 & d y d x = slope = d y / d t d x / d t = v_y v_x aligned So, Assertion (A) is incorrect. Also, velocity of a projectile is always along tangent to the trajectory (shown) Hence, reason (R) is correct.

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