To find the acceleration of the bicycle rider, we are going to use the acceleration formula: [tex]a= \frac{v_{f}-v_{i}}{t} [/tex]
where
[tex]a[/tex] is the acceleration
[tex]v_{i}[/tex] is the initial speed
[tex]v_{f}[/tex] is the final speed
[tex]t[/tex] is the time
We know from our problem that increases his speed from 5 m/s to 15 m/s in 10 seconds, so his initial speed is 5 m/s and his final speed is 15 m/s; therefore, [tex]v_{i}=5[/tex], [tex]v_{f}=15[/tex], and[tex]t=10[/tex]. Lets replace those values in our formula:
[tex]a= \frac{v_{f}-v_{i}}{t} [/tex]
[tex]a= \frac{15-5}{10} [/tex]
[tex]a= \frac{10}{10} [/tex]
[tex]a=1[/tex]
We can conclude that the acceleration of the bicycle rider 1 m/s^2
