Final answer:
The body will take 10 seconds to travel 200 m with an acceleration of 4 m/s².
Step-by-step explanation:
To find the time it will take for the body to travel 200 m, we can use the formula:
Distance = 0.5 * acceleration * time²
Since the body starts from rest, the initial velocity is 0 m/s. The given acceleration is 4 m/s² and the distance is 200 m.
Plugging these values into the formula, we get:
200 = 0.5 * 4 * time²
Simplifying the equation, we have:
time² = 200 / 2
= 100
Taking the square root of both sides, we get:
time = 10 seconds
Therefore, it will take the body 10 seconds to travel 200 m with an acceleration of 4 m/s².