Answer:
a). 1.18 m
b). 0.67 s
c). 3.5 [tex]\frac{m}{s}[/tex]
Explanation:
[tex]a=-g*sen*(32)= -5.1932 \frac{m}{s^{2} }= -5.2 \frac{m}{s^{2} }[/tex]
a).
[tex]V_{f} ^{2} =V_{i} ^{2}+2*a*d[/tex] , [tex]V_{f} =0[/tex], [tex]V_{i} =3.5\frac{m}{s } [/tex]
[tex]d= \frac{3.5^{2}\frac{m}{s} }{2*5.2\frac{m}{s^{2} } } = 1.179426 m\\d=1.18m[/tex]
b).
[tex]V_{f} = V_{i} + a *t[/tex] , [tex]V_{f} =0[/tex], [tex]V_{i} =3.5\frac{m}{s } [/tex]
[tex]0 = 3.5 + 5.2*t[/tex]
[tex]t= \frac{3.5 \frac{m}{s} }{5.2 \frac{m}{s^{2} } }[/tex]
[tex]t= 0.67 s[/tex]
c).
[tex]V_{f} ^{2} =V_{i} ^{2}+2*a*d[/tex], [tex]V_{i} =0[/tex]
[tex]V_{f} ^{2} = 0 + 2* 5.2 \frac{m}{s^{2} } * 1.18m = 12.272 \frac{m^{2} }{s^{2} }[/tex]
[tex]V_{f} =\sqrt{12.272 \frac{m^{2} }{s^{2} } } =3.503 \frac{m}{s}[/tex]
