Question

Space X has a capsule returning from space. At time =0, the capsule entered the Earth's atmosphere at 80,000 feet. The function H(t) = –200t +80000 can be used to determine the height of the capsule for any second t. What is the range of this situation?

Answer 1

The range of the situation refers to the horizontal distance traveled by the capsule before it hits the ground. It depends on the horizontal velocity of the capsule, which is not provided in the given information.

Step-by-step explanation:

The range of the situation refers to the horizontal distance traveled by the capsule before it hits the ground. In this case, we can find the range by setting the height function equal to zero and solving for time:

0 = -200t + 80000

t = 400 seconds

Next, we can find the horizontal distance traveled by multiplying the time by the capsule's horizontal velocity. Since the horizontal velocity is constant, we can use the formula:

Range = Time * Horizontal Velocity

Range = 400 seconds * Horizontal Velocity

Therefore, the range of this situation depends on the horizontal velocity of the capsule, which is not provided in the given information.