TS EAMCET · Physics · Motion In Two Dimensions

A ball is dropped from a bridge that is $45 m$ above the water. It falls directly into a boat which is moving with constant velocity. The boat is $12 m$ away from the point of impact when the ball is dropped. The speed of the boat is (Take $g = 10 m s^{- 2}$ )

A $2 m s^{- 1}$
B $3 m s^{- 1}$
C $4 m s^{- 1}$
D $5 m s^{- 1}$

Verified Solution

Answer & Solution

Correct Answer

(C) $4 m s^{- 1}$

Step-by-step Solution

Detailed explanation

Given: Distance covered by the ball s=45 m By using the equation s=ut+12gt2 where u represents the initial velocity of ball, g is the acceleration due to gravity, and t is the time taken by the ball. As the ball is dropped so its initial velocity is zero, thus s=12gt2 Time…

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 ball is dropped from a bridge that is 45 m above the water. It falls directly into a boat which is moving with constant velocity. The boat is 12 m away from the point of impact when the ball is dropped. The speed of the boat is (Take g=10 m s-2)

Step-by-step Solution

A ball is dropped from a bridge that is $45 m$ above the water. It falls directly into a boat which is moving with constant velocity. The boat is $12 m$ away from the point of impact when the ball is dropped. The speed of the boat is (Take $g = 10 m s^{- 2}$ )