Final answer:
The object will be at a height of 878.4 meters after 4 seconds.
Step-by-step explanation:
To find the height of the object after 4 seconds, we can use the equation for vertical motion:
h = h0 + v0t - (1/2)gt^2
Where:
- h is the final height
- h0 is the initial height
- v0 is the initial velocity
- t is the time
- g is the acceleration due to gravity
Given that the object comes down with an initial velocity of 200 m/s, we can assume the initial height is 0 and the acceleration due to gravity is -9.8 m/s^2 (negative because the object is coming down). Plugging these values into the equation gives:
h = 0 + 200(4) - (1/2)(-9.8)(4)^2
Simplifying:
h = 800 + 78.4 = 878.4 meters
Therefore, the object will be at a height of 878.4 meters after 4 seconds.