how many seconds you will reached the distance of 200 m. if your acceleration at 2m/s/s?
To calculate the time it will take to reach a distance of 200 meters with an acceleration of 2 m/s², we can use the kinematic equation:
\(s = ut + \frac{1}{2}at^2\)
Where:
s = distance (200 m)
u = initial velocity (0 m/s since we're starting from rest)
a = acceleration (2 m/s²)
t = time
Rearranging the equation, we get:
\(t^2 = \frac{2s}{a}\)
Substituting the given values:
\(t^2 = \frac{2 \times 200}{2} = 200\)
Taking the square root of both sides gives us:
\(t = \sqrt{200} ≈ 14.142\)
So, it will take approximately 14.142 seconds to reach a distance of 200 meters with an acceleration of 2 m/s².