Calculation of centripetal acceleration(ac):
[tex]a_c=\frac{v^2}{r}[/tex]
we can change our speed in terms of m/s
[tex]v=54km/h=54*\frac{1000}{3600} m/s[/tex]
now, we can plug these values
[tex]a_c=\frac{(54*\frac{1000}{3600})^2}{130}[/tex]
[tex]a_c=1.73077m/s^2[/tex]
Calculation of tangential acceleration(at):
[tex]a_t=\frac{\Delta v}{\Delta t}[/tex]
now, we can plug values
[tex]a_t=\frac{(54-92)*\frac{1000}{3600} }{16}[/tex]
now, we can simplify it
[tex]a_t=-0.65972 m/s^2[/tex]
Calculation of resultant acceleration:
[tex]a=\sqrt{(a_c)^2+(a_t)^2}[/tex]
now, we can plug values
[tex]a=\sqrt{(1.73077)^2+(-0.65972)^2}[/tex]
[tex]a=1.85224m/s^2[/tex].............Answer
