JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Motion Under Gravity

  • question_answer
    A rocket is fired upward from the earth's surface such that it creates an acceleration of 19.6 m/sec2. If after 5 sec its engine is switched off, the maximum height of the rocket from earth's surface would be                            [MP PET 1995]

    A)             245 m 

    B)             490 m

    C)             980 m 

    D)             735 m

    Correct Answer: D

    Solution :

                    Given \[a=19.6\ m/{{s}^{2}}=2g\]             Resultant velocity of the rocket after 5 sec             \[v=2g\times 5=10g\ m/s\]             Height achieved after 5 sec, \[{{h}_{1}}=\frac{1}{2}\times 2g\times 25=245m\]             On switching off the engine it goes up to height \[{{h}_{2}}\] where its velocity becomes zero.             \[0={{(10g)}^{2}}-2g{{h}_{2}}\Rightarrow {{h}_{2}}=490m\]             \[\therefore \]Total height of rocket \[=245+490=735\ m\]


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