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

  • question_answer
    A particle is thrown vertically upwards. If its velocity at half of the maximum height is 10 m/s, then maximum height attained by it is (Take \[g=10\] m/s2)  [CBSE PMT 2001, 2004]

    A)             8 m     

    B)             10 m

    C)             12 m   

    D)             16 m

    Correct Answer: B

    Solution :

                    Let particle thrown with velocity u and its maximum height is H then \[H=\frac{{{u}^{2}}}{2g}\] When particle is at a height \[H/2\], then its speed is 10m/s From equation \[{{v}^{2}}={{u}^{2}}-2gh\] \[{{(10)}^{2}}={{u}^{2}}-2g\left( \frac{H}{2} \right)={{u}^{2}}-2g\frac{{{u}^{2}}}{4g}\]\[\Rightarrow {{u}^{2}}=200\] Maximum height \[\Rightarrow H=\frac{{{u}^{2}}}{2g}=\frac{200}{2\times 10}=10\ m\]


You need to login to perform this action.
You will be redirected in 3 sec spinner