JEE Main & Advanced Physics Motion in a Straight Line / सरल रेखा में गति Question Bank Self Evaluation Test - Motion in a Strainght Line

  • question_answer
    A ball is dropped from a high rise platform at t = 0 starting from rest. After 6 seconds another ball is thrown downwards from the same platform with a speed v. The two balls meet at t = 18s. What is the value of v? \[(take\text{ }g=10\text{ }m/{{s}^{2}})\]

    A) 75 m/s  

    B) 55 m/s

    C) 40 m/s  

    D) 60 m/s

    Correct Answer: A

    Solution :

    Clearly distance moved by 1st ball in 18s = distance moved by 2nd ball in 12s. Now, distance moved in 18 s by 1st ball \[=\frac{1}{2}\times 10\times {{18}^{2}}=90\times 18=1620\text{ m }\] Distance moved in 12 s by 2nd ball \[=ut+\frac{1}{2}g{{t}^{2}}\text{      }\therefore \text{1620=12v+5}\times \text{144}\] \[\Rightarrow \text{v=135-60=75 m}{{\text{s}}^{-1}}\]


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