3 years ago

You are given m =0.4n - 2/3

Mathematics

1 answer:

inessss [21]3 years ago

4 0

Answer:8.3

Step-by-step explanation:

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Given the position of the particle, what the position(s) of the particle when it’s at rest

choli [55]

The position function of a particle is given by:

$X\mleft(t\mright)=\frac{2}{3}t^3-\frac{9}{2}t^2-18t$

The velocity function is the derivative of the position:

$\begin{gathered} V(t)=\frac{2}{3}(3t^2)-\frac{9}{2}(2t)-18 \\ \text{Simplifying:} \\ V(t)=2t^2-9t-18 \end{gathered}$

The particle will be at rest when the velocity is 0, thus we solve the equation:

$2t^2-9t-18=0$

The coefficients of this equation are: a = 2, b = -9, c = -18

Solve by using the formula:

$t=\frac{-b\pm\sqrt[]{b^2-4ac}}{2a}$

Substituting:

$\begin{gathered} t=\frac{9\pm\sqrt[]{81-4(2)(-18)}}{2(2)} \\ t=\frac{9\pm\sqrt[]{81+144}}{4} \\ t=\frac{9\pm\sqrt[]{225}}{4} \\ t=\frac{9\pm15}{4} \end{gathered}$

We have two possible answers:

$\begin{gathered} t=\frac{9+15}{4}=6 \\ t=\frac{9-15}{4}=-\frac{3}{2} \end{gathered}$

We only accept the positive answer because the time cannot be negative.

Now calculate the position for t = 6:

$undefined$

6 0

1 year ago

HELPPPPP PLEASEEEEEEE

Naddik [55]

Answer:

B is the answer

Step-by-step explanation:

5 0

3 years ago

Read 2 more answers

PLEASE ANSWER THIS? WHAT IS EG

crimeas [40]

It's the points of the triangle E----------G
They are the twin points

5 0

2 years ago

Find the length of the third side. If necessary, write in simplest radical form.

BlackZzzverrR [31]

Answer:

third side is 4

Step-by-step explanation:

using Pythagoras theorem,

(√33)² + l² = 7²

33 + l² = 49

l² = 49 - 33

l² = 16

l = √16

l = 4

4 0

2 years ago

Help plz.............................................

Salsk061 [2.6K]

Answer:

Step-by-step explanation:

I calculated it

3 0

3 years ago