A stone is thrown vertically upwards from the top of a tower 50.0m high with an initial velocity of 20.0ms^(−1) .calculate
i.the maximum height the stone reaches
ii.the time it takes to reach the maximum height
iii.the total distance it covers[take g=10ms^(−1) ]
calculate f(a) =∫ (dx/((√(1+ax))−(√(1−ax)))) with a>0 .
2) calculate U_n =∫_(−(1/(na))) ^(1/(na)) (dx/((√(1+ax))−(√(1−ax)))) with n from N and n>1
find lim_(n→+∞) U_n and study the convergence of Σ U_n