To find the acceleration of the car, we can use the kinematic equation for uniformly accelerated motion:
\[ s = ut + \frac{1}{2} a t^2 \]
Where:
- \( s \) is the distance covered (100 m)
- \( u \) is the initial velocity (0 m/s, since the car starts from rest)
- \( a \) is the acceleration (which we need to find)
- \( t \) is the time (1 second)
Since the car starts from rest (\( u = 0 \)), the equation simplifies to:
\[ s = \frac{1}{2} a t^2 \]
Substituting the known values into the equation:
\[ 100 = \frac{1}{2} a (1^2) \]
This simplifies to:
\[ 100 = \frac{1}{2} a \]
To isolate \( a \), multiply both sides by 2:
\[ 200 = a \]
Thus, the acceleration of the car is:
\[ a = 200 , \text{m/s}^2 \]