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NEET
Exam
NEET
Subject
Physics
Chapter
Motion in Two Dimensions

NEET · Physics · Motion in Two Dimensions

Assertion (A) The velocity of a projectile at a point on its...

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 y=f(x)=xtan⁡θ−gx22u2cos⁡2θ∴dydx= slope =dy/dtdx/dt=vyvx\begin{aligned} & y=f(x)=x \tan \theta-\frac{g x^2}{2 u^2 \cos ^2 \theta} \\ & \therefore \frac{d y}{d x}=\text{ slope }=\frac{d y / d t}{d x / d t}=\frac{v_y}{v_x} \end{aligned} So, Assertion (A) is incorrect. Also, velocity of a projectile is always along tangent to the trajectory (shown) Hence, reason (R)(R) is correct.
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