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Mrrafil [7]
3 years ago
7

I need HELP ASAP PLEASE

Mathematics
1 answer:
Mekhanik [1.2K]3 years ago
7 0

Answer:

i cant see it sorry bye

Step-by-step explanation:

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Questions attached as screenshot below:Please help me I need good explanations before final testI pay attention
Nikitich [7]

The acceleration of the particle is given by the formula mentioned below:

a=\frac{d^2s}{dt^2}

Differentiate the position vector with respect to t.

\begin{gathered} \frac{ds(t)}{dt}=\frac{d}{dt}\sqrt[]{\mleft(t^3+1\mright)} \\ =-\frac{1}{2}(t^3+1)^{-\frac{1}{2}}\times3t^2 \\ =\frac{3}{2}\frac{t^2}{\sqrt{(t^3+1)}} \end{gathered}

Differentiate both sides of the obtained equation with respect to t.

\begin{gathered} \frac{d^2s(t)}{dx^2}=\frac{3}{2}(\frac{2t}{\sqrt[]{(t^3+1)}}+t^2(-\frac{3}{2})\times\frac{1}{(t^3+1)^{\frac{3}{2}}}) \\ =\frac{3t}{\sqrt[]{(t^3+1)}}-\frac{9}{4}\frac{t^2}{(t^3+1)^{\frac{3}{2}}} \end{gathered}

Substitute t=2 in the above equation to obtain the acceleration of the particle at 2 seconds.

\begin{gathered} a(t=1)=\frac{3}{\sqrt[]{2}}-\frac{9}{4\times2^{\frac{3}{2}}} \\ =1.32ft/sec^2 \end{gathered}

The initial position is obtained at t=0. Substitute t=0 in the given position function.

\begin{gathered} s(0)=-23\times0+65 \\ =65 \end{gathered}

8 0
1 year ago
Simplify the expression:<br> -<br> 4t+<br> -<br> 7t+3–10t
Gekata [30.6K]

Answer:t+3

Step-by-step explanation:

4t+7t+3-10t

11t+3-10t

t+3

8 0
3 years ago
Anyone please help:&lt;
insens350 [35]

Answer:

y= 4x^2

Step-by-step explanation:

5 0
3 years ago
Read 2 more answers
HELPPPP PLEASE IN NEED HELP FAST I NEED ALL 5 DONE
Radda [10]

1. 11h

2. 10w

3. 6w

4.6 (h+3)

5. 74

hope it's helpful.

6 0
3 years ago
Write the Equation of the line in slope intercept form<br> (0, -3), (7.5,0)
makkiz [27]

Answer:

Step-by-step explanation:

First, start off by solving for the slope using this formula:

\frac{y_{2} -y_{1} }{x_{2}-x_{1}  }

Then, plug in the values: \frac{0-(-3)}{7.5-0}

Solve the equation: \frac{3}{7.5}

That's your slope.

Then plug in one of the coordinates given in the problem for x and y and solve this equation:

y=\frac{3}{7.5}x+b

Hope that helped!!! :)

7 0
3 years ago
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