Answer:
[tex]49.75\ \text{km/h}[/tex]
Explanation:
a = Acceleration of the automobile = [tex]1.77\ \text{m/s}^2[/tex]
t = Time taken = 6 s
v = Final velocity = 88 km/h = [tex]\dfrac{88}{3.6}=24.44\ \text{m/s}[/tex]
u = Initial velocity
From the linear equations of motion we have
[tex]v=u+at\\\Rightarrow u=v-at\\\Rightarrow u=24.44-1.77\times 6\\\Rightarrow u=13.82\ \text{m/s}=13.82\times 3.6=49.75\ \text{km/h}[/tex]
The initial speed when the automobile started accelerating is [tex]49.75\ \text{km/h}[/tex].
