The rate of acceleration of a bicycle rider is 1 m/s^2.
Acceleration is the rate at which velocity (speed) is changing. Acceleration (a) is the change in velocity (Δv) over the change in time (Δt), represented by the equation a = Δv/Δt.
For the given situation,
A bicycle rider increases his speed from 15 m/s to 5 m/s.
⇒ Δv = [tex]15-5[/tex]
⇒ Δv = [tex]10 m/s[/tex]
Change in time, Δt = [tex]10 seconds[/tex]
The formula of rate of acceleration is
a = Δv/Δt
On substituting the above values,
⇒ [tex]a=\frac{10}{10}[/tex]
⇒ [tex]a=1[/tex]
Hence we can conclude that the rate of acceleration of a bicycle rider is 1 m/s^2.
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