Question

2-
Resolva as seguintes equações de Torricelli:
a) v =?, v} = 8 m/s, a = 3 m,2, As = 25m
b) v} =?, v} = 5 m/s, a = 7 m52, As = 55m
c) v = 80 m/s, v} =?, a = 12 m 2, As = 105m

Answer 1

$a) {v}^{2} = {v}_{0}^{2} + 2a \Delta s \\ \\ {v}^{2} = {8}^{2} + 2 \cdot3 \cdot25 \\ \\ {v}^{2} = 64+150 \\ \\ v= \sqrt{214} = 14,63 \: m/s$

$b) {v}^{2} = {v}_{0}^{2} + 2a \Delta s \\ \\ {v}^{2} = {5}^{2} + 2 \cdot7 \cdot55 \\ \\ {v}^{2} = 25+770 \\ \\ v= \sqrt{795} = 28,2 \: m/s$

$c) {v}^{2} = {v}_{0}^{2} + 2a \Delta s \\ \\ {80}^{2} = {v}_{0}^{2} + 2 \cdot12 \cdot105\\ \\6400 = {v}_{0}^{2}+ 2520 \\ \\{v}_{0} = \sqrt{3880} = 62,3 \: m/s$