TS EAMCET · Physics · Motion In One Dimension

A car driver is trying to jump across a path as shown in figure by driving horizontally off a cliff $' X'$ at the speed $10 m s^{- 1}$ . When he touches peak $Z$ (ignore air resistance), what would be speed? (use $g = 10 m s^{- 2}$ )

A $30 m s^{- 1}$
B $40 m s^{- 1}$
C $15 m s^{- 1}$
D $50 m s^{- 1}$

Verified Solution

Answer & Solution

Correct Answer

(A) $30 m s^{- 1}$

Step-by-step Solution

Detailed explanation

Use the concept of conservation of energy in that case the sum of initial kinetic energy and potential energy should be equal to the sum of final kinetic energy and potential energy, ⇒mgh+12mv2=mgh'+12mv'2⇒v'2=2gh+v2-2gh' here, h'=60 m, h=100 m and…

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 car driver is trying to jump across a path as shown in figure by driving horizontally off a cliff 'X' at the speed 10 m s-1. When he touches peak Z (ignore air resistance), what would be speed? (use g=10 m s-2)

Step-by-step Solution

A car driver is trying to jump across a path as shown in figure by driving horizontally off a cliff $' X'$ at the speed $10 m s^{- 1}$ . When he touches peak $Z$ (ignore air resistance), what would be speed? (use $g = 10 m s^{- 2}$ )