A body is projected with speed v at an angle of projection θ . Then match the following at the highest point: List-I List-II (P) Remains unchanged with change in angle of projection (1) Change in mome

Question

A body is projected with speed v at an angle of projection θ . Then match the following at the highest point: List-I List-II (P) Remains unchanged with change in angle of projection (1) Change in momentum till then (Q) Remains unchanged with change in speed of projection v. (2) Angle of velocity with horizontal at the highest point (R) Changes with change in angle of projection. (3) Kinetic energy of body (S) Changes with change in speed of projection v. (4) Horizontal component of velocity (5) Time elapsed

TestHub · Accepted Answer

At the highest point, vertical velocity is zero.

$v_{x} = v cos θ, v_{y} = 0$

Hence the velocity is horizontal, independent of both the projection angle and speed.

The other listed quantities are

$Δ p = - m v sin θ \hat{j}$

$K = \frac{1}{2} m v^{2} cos^{2} θ$

$v_{x} = v cos θ$

$t = \frac{v s i n θ}{g}$

Each of these changes with the projection angle and the projection speed.

P to 2; Q to 2; R and S to 1, 3, 4, 5. Answer: B.

Physics - Kinematics Question with Solution | TestHub

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Doubts & Discussion

List-I	List-II
(P) Remains unchanged with change in angle of projection	(1) Change in momentum till then
(Q) Remains unchanged with change in speed of projection v.	(2) Angle of velocity with horizontal at the highest point
(R) Changes with change in angle of projection.	(3) Kinetic energy of body
(S) Changes with change in speed of projection v.	(4) Horizontal component of velocity
	(5) Time elapsed