The position function of a particle is given by:
The velocity function is the derivative of the position:
The particle will be at rest when the velocity is 0, thus we solve the equation:
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}](https://tex.z-dn.net/?f=t%3D%5Cfrac%7B-b%5Cpm%5Csqrt%5B%5D%7Bb%5E2-4ac%7D%7D%7B2a%7D)
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}](https://tex.z-dn.net/?f=%5Cbegin%7Bgathered%7D%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B81-4%282%29%28-18%29%7D%7D%7B2%282%29%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B81%2B144%7D%7D%7B4%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm%5Csqrt%5B%5D%7B225%7D%7D%7B4%7D%20%5C%5C%20t%3D%5Cfrac%7B9%5Cpm15%7D%7B4%7D%20%5Cend%7Bgathered%7D)
We have two possible answers:
We only accept the positive answer because the time cannot be negative.
Now calculate the position for t = 6:
Answer:
The answer is 0.25
Step-by-step explanation:
(1)we group like terms by subtracting 32.50 by 28.75
(2) we subtract 20 and 5 to give us a value of 15
(3)when we subtract 32.50 and 28.75 we get a value of 3.75
(4)so the equation will look like this 3.75t = 15
(5)we divide 3.75 we both the two equations
(6)With a correct calculation, Your answer should be t = 0.25
Either to mirror, or to copy.
Answer: B (y>2) I hope this helps you
Solution:
<u>It should be noted:</u>
- If the starting point of the inequality is half shaded, the sign will be < or >.
- If the starting point of the inequality is fully shaded, the sign will be ≤ or ≥.
<u>We can tell that:</u>
- The inequality will either have an < or > sign.
- The blue line tells us that the value of x must be greater than -1.
This clearly tells us that the inequality is x > -1
<u>In conclusion:</u>
Option C is correct.
