Respuesta :

Hello!

The answer are:

For the first exercise:

a).[tex]004\frac{m}{s^{2} }[/tex]

For the second exercise:

b).[tex].0056\frac{m}{s^{2} }[/tex]

Why?

For boths question we will use the following formula:

[tex]Vf=Vi+a*t\\a=\frac{Vf-Vi}{t}[/tex]

First, let's convert mph to mps:

For the first exercise:

[tex]\frac{60mile}{h}*\frac{1h}{60min}*\frac{1min}{60seconds}=\frac{60m}{3600s}=\frac{0.0166m}{s}[/tex]

So,

[tex]60mph=0.0166mps[/tex]

For the second exercise:

[tex]\frac{100mile}{h}*\frac{1h}{60min}*\frac{1min}{60seconds}=\frac{100m}{3600s}=\frac{0.0277m}{s}[/tex]

So,

[tex]100mph=0.0277mps[/tex]

So, for the first exercise:

[tex]0.0166=0+a*4\\a=\frac{0.0166-0}{4}=0.004\frac{m}{s^{2} }[/tex]

Then, for the second exercise:

[tex]0.0277=0+a*5\\a=\frac{0.0277-0}{5}=0.0056\frac{m}{s^{2} }[/tex]

Have a nice day!