Question

If a stone is thrown vertically upwards with an initial velocity Vo. Find the distance travelled by the stone in upward direction after being thrown. Time taken by the stone is 1.5 Vo/g?

Answer 1

$$\begin{gathered} DearStudent, \\ Given, \\ Iniitialvelocity=v_0,t=\frac{3v_0}{2g}a=-g \\ S=ut+\frac{1}{2}a{t}^2 \\ =v_0\frac{3v_0}{2g}-\frac{1}{2}g{\left(\frac{3v_0}{2g}\right)}^2=\frac{3{v^2}_0}{2g}-\frac{9{v^2}_0}{8g}=\frac{12{v^2}_0-{9v^2}_0}{8g}=\frac{3{v^2}_0}{8g} \\ Regards.. \end{gathered}$$