An object is thrown straight upward from the ground with an initial speed of 30 feet per second. Its height (h) after t seconds is given by the equation h(t)= -5t^2+30t. Find the domain for h(t).

A.(-∞, 0)
B.(6, ∞)
C.(0, 6)
D.All real numbers

Question

An object is thrown straight upward from the ground with an initial speed of 30 feet per second. Its height (h) after t seconds is given by the equation h(t)= -5t^2+30t. Find the domain for h(t).

A.(-∞, 0)
B.(6, ∞)
C.(0, 6)
D.All real numbers

anonymous · Answer

$$h(t)=-5t^2+30t \ge0\rightarrow t(30-5t)\ge0$$ and t>=0, then in order to have h(t)>=0 it has to be: 30-5t>=0 and then t<=6 The domain is t>=0 and t<=6, then [0,6]