Answer:
Step-by-step explanation:
To solve this problem, we can use the following kinematic equation:
d = 1/2at^2 + vt
where d is the distance, a is the acceleration, t is the time, and v is the initial velocity.
We know that the car is starting from rest, so v = 0. We also know that the acceleration is 5 m/s^2 and the distance to be covered is 200 m. Plugging these values into the equation, we get:
200 = 1/2(5)t^2 + 0
Simplifying:
t^2 = 80
Taking the square root of both sides:
t = 8.9 s
Therefore, it would take the car approximately 8.9 seconds to cover a distance of 200 meters from rest with an acceleration of 5 meters per second squared.