Answer:
Explanation:
Certainly! Let's calculate the requested values based on the given function for the height of the rocket:
The height of the rocket at t = 2 seconds:
ℎ
(
2
)
=
−
4.9
(
2
)
2
+
346
(
2
)
+
353
=
−
4.9
(
4
)
+
692
+
353
=
−
19.6
+
692
+
353
=
1025.4
h(2)=−4.9(2)
2
+346(2)+353=−4.9(4)+692+353=−19.6+692+353=1025.4
So, the height at t = 2 seconds is 1025.4 meters.
The height of the rocket at t = 5 seconds:
ℎ
(
5
)
=
−
4.9
(
5
)
2
+
346
(
5
)
+
353
=
−
4.9
(
25
)
+
1730
+
353
=
−
122.5
+
1730
+
353
=
1960.5
h(5)=−4.9(5)
2
+346(5)+353=−4.9(25)+1730+353=−122.5+1730+353=1960.5
So, the height at t = 5 seconds is 1960.5 meters.
The height of the rocket at t = 10 seconds:
ℎ
(
10
)
=
−
4.9
(
10
)
2
+
346
(
10
)
+
353
=
−
4.9
(
100
)
+
3460
+
353
=
−
490
+
3460
+
353
=
3323
h(10)=−4.9(10)
2
+346(10)+353=−4.9(100)+3460+353=−490+3460+353=3323
So, the height at t = 10 seconds is 3323 meters.