Answer:
C. The solution t = 5 is the only valid solution to this system since time cannot be negative.
Step-by-step explanation:
Given
[tex]h(t) = -16t^2 + 48t + 210[/tex]
[tex]h(t) = 50[/tex]
Required
Determine which of the options is true
After solving
[tex]h(t) = -16t^2 + 48t + 210[/tex]
for
[tex]h(t) = 50[/tex]
We have that
[tex]t = -2[/tex] and [tex]t = 5[/tex]
Because time can't be negative, we have to eliminate [tex]t = -2[/tex]
So, we're left with
[tex]t = 5[/tex]
Because of this singular reason, we can conclude that option c answers the question