Chuck drops a rock from a height of 70 m. How long will it take the rock to hit the ground? Use the formula h(t)=−4.9 t 2 + v o
t+ h o , where v o is the initial velocity and h o is the initial height. Round to the nearest tenth of a second.
2 answers:
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Answer:
(See explanation for further details)
Step-by-step explanation:
a) Let consider the polynomial . The polynomial is in standards when has the form
, where
is the order of the polynomial. The example has the following information:
,
,
,
,
.
b) The closure property means that polynomials must be closed with respect to addition and multiplication, which is demonstrated hereafter:
Closure with respect to addition:
Let consider polynomials and
such that:
and
, where
Hence, polynomials are closed with respect to addition.
Closure with respect to multiplication:
Let be a polynomial such that:
And an scalar. If the polynomial is multiplied by the scalar number, then:
Lastly, the following expression is constructed by distributive property:
Hence, polynomials are closed with respect to multiplication.