Option 2: 
is the correct answer
Step-by-step explanation:
Given fraction is:
In order to simplify, we can see that the function is already in compact form
So,
We can simplify the given fraction.
We can see that the numerator can be further simplified
Hence,
Option 2: is the correct answer
Keywords: Polynomials, expressions
Learn more about polynomials at:
#LearnwithBrainly
Answer:
Although strictly speaking of mathematics i.e. theoritically,
t
can take any value from
{
−
∞
,
∞
]
,
however, it is essentially a physical problem related to Physics and we cannot have negative
t i.e. t
≥
0
Further, after the maximum is reached at t
=
2 (observe that first differential is h
'
(
t
)
=
−
32
t
+
64
, which is zero at t
=
2 and second derivative h
'
'
(
t
)
=
−
32 is negative and at this we have h
(
2
)
=
64
), at t
=
4
, h
(
4
)
=
0 i.e. toy rocket falls back to the ground and as such, we cannot have h
>
4
.
Hence, domain for t is [
0
,
4
]
.
tbh google
