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Assertion (A) The velocity of a projecti...

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 trajecotry at that point.

A

Both A and R are true and R is the correct explanation of A

B

Both A and R are true but R is not the correct explanation of A

C

A is true but R is false

D

A si false but R is true

Text Solution

Verified by Experts

The correct Answer is:
D
Trajectory of a proectice is of form
`y=f(x) = x tan theta -(gx^(2))/(2u^(2) cos^(2) theta)`
`therefore (dy)/(dx) =" slope "=(dy//dt)/(dx//dt)=(v_(y))/(v_(x))`
So, Assertion (A) is incorrect. Also, velocity of a projectile always along tangent to the trajectory (shown)

Hence, reason (R) is correct.
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