NASA launches a rocket at
t
=
0
seconds. Its height, in meters above sea-level, as a function of time is given by:
h
(
t
)
=
−
4.9
t
2
+
166
t
+
248
.
Round your answers to 1 decimal place.
a. How many seconds does it take for the rocket to reach its maximum height?
b. What is the maximum height in meters?