Barry Allen $($The Flash$)$ can run at $186,000$ miles$/$second$.$ An average person, without $1=1\mathrm{.}25\frac{m}{s^2}$ superpowers, can accelerate at $1\mathrm{.}25\frac{m}{s^2}.$ I $mi=1609m$

a$)$ What is Barry's speed in $\frac{m}{s}?$

b$)$ If Barry starts from a stop and it takes him $4$ sconds to reach this velocity, what

is his acceleration?

c$)$ Assume that Barry starts at $x_0=0m.$ Write an expression for his position as a function of time, $t.$

d$)$ How far did Barry run in those $4$ seconds?

e$)$ If an average person starts from rest, how many years would it take them to reach the same speed as The Flash?

f$)$ An average person cannot actually run as fast as The Flash. If a person accelerates from rest for $4$ seconds, what is their resulting velocity?