Question

the new horizons spacecraft was launched in 2006 to study pluto and the outer solar system. it is traveling away from earth at a speed of 36,400 miles per hour, making it the fastest human - made object ever launched into space. the spacecraft will continue traveling away from the earth at this speed indefinitely. the function d(t) represents the spacecrafts distance from earth, in miles, t hours after it was launched. what is the domain of d(t)? all real numbers all real numbers greater than or equal to 0 all multiples of 36,400 all real numbers from 0 to 36,400

Explanation:

Step1: Understand domain concept

The domain of a function is the set of all possible input - values. Here, the input variable \(t\) represents the time after the spacecraft was launched.

Step2: Consider time constraints

Time cannot be negative in this context since we are measuring time after the launch. So \(t\geq0\).

Answer:

all real numbers greater than or equal to 0