JEE Main & Advanced Physics Work, Energy, Power & Collision / कार्य, ऊर्जा और शक्ति Question Bank Mock Test - Work Power and Energy

  • question_answer
    A projectile is fired with some velocity making certain angle with the horizontal. Which of the following graphs is the best representation for the kinetic energy of a projectile (KE) versus its horizontal displacement (x)?

    A)

    B)  

    C)

    D)  

    Correct Answer: D

    Solution :

    [d] Velocity of a projectile at any instant of time (t) is \[{{v}^{2}}={{v}_{x}}^{2}+{{v}_{y}}^{2}={{(ucos\theta )}^{2}}+{{\left( u\sin \theta -g\frac{x}{u\cos \theta } \right)}^{2}}\] \[\therefore KE=\frac{1}{2}m{{u}^{2}}-mgx\,\tan \theta +\frac{m{{g}^{2}}{{x}^{2}}}{{{u}^{2}}{{\cos }^{2}}\theta }\] The given equation represents the equation of a parabola.


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