Question

What is the reasonable domain of function h(t) = -4.9t + 63.7t?

a) All real numbers (t)

b) Positive real numbers (t)

c) Negative real numbers (t)

d) Integers

Answer 1

The reasonable domain for h(t) = -4.9t^2 + 63.7t is positive real numbers (t), as time cannot be negative for the context of this function.

Step-by-step explanation:

The reasonable domain of the function h(t) = -4.9t^2 + 63.7t is positive real numbers (t). This is because the function represents a physical phenomenon such as the motion of an object under gravity, and negative time values do not make sense in this context as they would imply an event occurring before the object began its motion. Whenever we deal with time-dependent equations in physics, we only consider non-negative values of time since the start of the observation.