A rocket is launched the top of a 96 -ft building with an initial velocity of 64 ft/sec. The height h ( t ) of the rocket is given by h ( t ) = − 16 t 2 + 64 t + 96 . Find the time it takes for the rocket to hit the ground. [ H i n t : h ( t ) = 0 whentheobjecthitstheground . ]
A rocket is launched the top of a 96 -ft building with an initial velocity of 64 ft/sec. The height h ( t ) of the rocket is given by h ( t ) = − 16 t 2 + 64 t + 96 . Find the time it takes for the rocket to hit the ground. [ H i n t : h ( t ) = 0 whentheobjecthitstheground . ]
Solution Summary: The author calculates the time taken by the rocket to hit the ground from the top of a 96 ft building.
A rocket is launched the top of a
96
-ft building with an initial velocity of
64
ft/sec. The height
h
(
t
)
of the rocket is given by
h
(
t
)
=
−
16
t
2
+
64
t
+
96
. Find the time it takes for the rocket to hit the ground.
[
H
i
n
t
:
h
(
t
)
=
0
whentheobjecthitstheground
.
]
Compare the interest earned from #1 (where simple interest was used) to #5 (where compound interest was used). The principal, annual interest rate, and time were all the same; the only difference was that for #5, interest was compounded quarterly. Does the difference in interest earned make sense? Select one of the following statements. a. No, because more money should have been earned through simple interest than compound interest. b. Yes, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. c. No, because more money was earned through simple interest. For simple interest you earn interest on interest, not just on the amount of principal. d. Yes, because more money was earned when compounded quarterly. For compound interest you earn interest on interest, not just on the amount of principal.
Compare and contrast the simple and compound interest formulas. Which one of the following statements is correct? a. Simple interest and compound interest formulas both yield principal plus interest, so you must subtract the principal to get the amount of interest. b. Simple interest formula yields principal plus interest, so you must subtract the principal to get the amount of interest; Compound interest formula yields only interest, which you must add to the principal to get the final amount. c. Simple interest formula yields only interest, which you must add to the principal to get the final amount; Compound interest formula yields principal plus interest, so you must subtract the principal to get the amount of interest. d. Simple interest and compound interest formulas both yield only interest, which you must add to the principal to get the final amount.
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