Answer:
The maximum speed is 21.1 m/s
Explanation:
Given that,
Radius of curve = 119 m
Maximum speed = 30 m/s
New radius = 59.5 m
We need to calculate the maximum acceleration
Using formula of acceleration
[tex]a_{c}=\dfrac{v^2}{r}[/tex]
Where, v = maximum speed
r = radius
a = acceleration
Put the value into the formula
[tex]a_{c}=\dfrac{30^2}{119}[/tex]
[tex]a_{c}=7.5\ m/s^2[/tex]
We need to calculate the maximum speed
Using formula of speed
[tex]v_{max}=\sqrt{a\times r}[/tex]
Put the value into the formula
[tex]v_{max}=\sqrt{7.5\times59.5}[/tex]
[tex]v_{max}=21.1\ m/s[/tex]
Hence, The maximum speed is 21.1 m/s
