Answer:
[tex]5.590278\ m/s^2[/tex]
[tex]7.74038461538\ m/s^2[/tex]
178.888896 m
12790.56 m
Explanation:
t = Time taken
u = Initial velocity
v = Final velocity
s = Displacement
a = Acceleration
[tex]v=u+at\\\Rightarrow a=\dfrac{v-u}{t}\\\Rightarrow a=\dfrac{\dfrac{161}{3.6}-0}{8}\\\Rightarrow a=5.590278\ m/s^2[/tex]
The acceleration is [tex]5.590278\ m/s^2[/tex]
[tex]v=u+at\\\Rightarrow a=\dfrac{v-u}{t}\\\Rightarrow a=\dfrac{\dfrac{1610}{3.6}-\dfrac{161}{3.6}}{60-8}\\\Rightarrow a=7.74038461538\ m/s^2[/tex]
The acceleration is [tex]7.74038461538\ m/s^2[/tex]
[tex]s=ut+\dfrac{1}{2}at^2\\\Rightarrow s=0\times t+\dfrac{1}{2}\times 5.590278\times 8^2\\\Rightarrow s=178.888896\ m[/tex]
Distance traveled in the first 8 seconds is 178.888896 m
[tex]s=ut+\dfrac{1}{2}at^2\\\Rightarrow s=\dfrac{161}{3.6}\times 52+\dfrac{1}{2}\times 7.74038461538\times 52^2\\\Rightarrow s=12790.56\ m[/tex]
Distance traveled during 8-60 second interval is 12790.56 m
