Final answer:
To find the time it takes for a falling object to reach a speed of 200 m/s, use the equation V2 = V1 + gt. Plugging in the given values, the time is approximately 19.39 seconds.
Step-by-step explanation:
To find the time it takes for a falling object to reach a speed of 200 m/s, we can use the equation V2 = V1 + gt, where V2 is the final speed, V1 is the initial speed, g is the acceleration due to gravity, and t is the time.
Plugging in the given values: V2 = 200 m/s, V1 = 15 m/s, and g = 9.8 m/s², we can rearrange the equation to solve for t: t = (V2 - V1) / g.
Substituting the values, we get: t = (200 m/s - 15 m/s) / 9.8 m/s².
Calculating the result: t ≈ 19.39 seconds.
Learn more about Calculating time for a falling object to reach a certain speed