Answer:
a) t = 1.905s
b) t = 0.866s
Explanation:
From a force diagram we know that:
Ff = m*a where Ff = μ*N
[tex]\mu*m*g = m*a_{max}[/tex]
[tex]a_{max}=\mu * g[/tex]
For Postal Service shoes:
[tex]a_{max}=5m/s^2[/tex]
The time interval is calculated as:
[tex]X = Vo*t+a/2*t^2[/tex] where Vo=0; X = 3m. Solving for t:
[tex]t_{min}=1.905s[/tex]
For Athletic shoes:
[tex]a_{max}=8m/s^2[/tex]
Using the same formula for the time interval:
[tex]t_{min}=0.866s[/tex]
