Answer:
The value is [tex]s = 306.6 \ m[/tex]
Explanation:
From the question we are told that
The acceleration is [tex]a = 2.52 \ m/s[/tex]
The speed to attain is [tex]v = 39.2 \ m/s[/tex]
Generally the time taken is mathematically represented as
[tex]t = \frac{v}{a}[/tex]
=> [tex]t = \frac{39.2}{2.52}[/tex]
=> [tex]t= 15.6 \ s[/tex]
Generally from the kinematic equation we have that
[tex]s = ut + \frac{1}{2}at^2[/tex]
Here the initial velocity is zero i.e u = 0 \ m/s (it started from rest)
So
[tex]s = 0* 15.6 + \frac{1}{2} * 2.52 * (15.6)^2[/tex]
=> [tex]s = 306.6 \ m[/tex]
