Question

alguém pode me ajudar com essas duas questões ??

Answer 1

37)
$v = v_0 + at \\ t = \frac{v - v_0}{a} \\ \Delta s = v_{0}t + \frac{a}{2}t^2 \\ \Delta s = v_{0} .(\frac{v-v_0}{a}) + \frac{a}{2}.(\frac{v-v_0}{a})^2 \\ \Delta s = \frac{vv_0-v_{0}^2}{a}+\frac{a}{2}.(\frac{v^{2}-2vv_{0}+v_{0}^2}{a^2})\\ \Delta s = \frac{vv_0}{a} - \frac{v_{0}^2}{a} + \frac{v^2}{2a} - \frac{vv_0}{a} + \frac{v_{0}^2}{2a} \\ \Delta s = \frac{v^2}{2a} - \frac{v_{0}^2}{2a} \\ 2a.\Delta s = v^2 - v_{0}^2 \\ v^2 = v_{0}^2 + 2a.\Dela s$
38)
$a = \frac{v-v_0}{t} \\ v^2 = v_{0}^2+ 2a.\Delta s \\ 2a.\Delta s = v^2 - v_{0}^2 \\ 2a.\Delta s = (v+v_0)(v-v_0) \\ 2.\frac{v-v_0}{t} . \Delta s = (v+v_0)(v-v_0) \\ 2 \frac{\Delta S}{t} = v + v_0 \\ 2.v_m = v + v_0 \\ v_m = \frac{v+v_0}{2}$