AP EAMCET · PHYSICS · Motion In Two Dimensions

A hiker stands on the edge of a cliff $490 m$ above the ground and throws a stone horizontally with an initial speed of $15 m s^{- 1}$ . The speed with which it hits the ground is

A $99 m s^{- 1}$
B $101 m s^{- 1}$
C $103 m s^{- 1}$
D $105 m s^{- 1}$

Verified Solution

Answer & Solution

Correct Answer

(A) $99 m s^{- 1}$

Step-by-step Solution

Detailed explanation

From the equation of kinematics, v2-u2=2gh There is no opposing force in the horizontal direction, ⇒vx=15 m s-1 In vertical direction, vy2=2gh ⇒vy2=2×9.8×490 ⇒vy=2×9.8×490 ⇒vy=2×9.8×490 ⇒vy=98 m s-1…

Apply the relevant identity from the chapter and substitute the values established in the previous step, keeping the original constraint in view.

Use the simplified expression to isolate the unknown, then plug the result back into the question setup to confirm the working is internally consistent.

Cross-check against a boundary or limiting case. Both the dimensional balance and the qualitative behaviour at the extreme should agree with the candidate answer.

Combine the steps above to identify the correct option. The remaining choices each fail at least one of the consistency, dimensional, or boundary checks.

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A hiker stands on the edge of a cliff 490 m above the ground and throws a stone horizontally with an initial speed of 15 m s-1. The speed with which it hits the ground is

Step-by-step Solution

A hiker stands on the edge of a cliff $490 m$ above the ground and throws a stone horizontally with an initial speed of $15 m s^{- 1}$ . The speed with which it hits the ground is