Melanie invested $2600 at the beginning of 2001 in two different stocks, Ramanar corp and bakery brothers. Ramanar corp eared 6%
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The positions when the particle reverses direction are:
The acceleraton of the paticle when reverses direction is:
Why?
To solve the problem, we need to remember that if we derivate the position function, we will get the velocity function, and if we derivate the velocity function, we will get the acceleration function. So, we will need to derivate two times.
Also, when the particle reverses its direction, the velocity is equal to 0.
We are given the following function:
So,
- Derivating to get the velocity function, we have:
Now, making the function equal to 0, to find the times when the particle reversed its direction, we have:
We know that the particle reversed its direction two times.
- Derivating the velocity function to find the acceleration function, we have:
Now, substituting the times to calculate the accelerations, we have:
Now, substitutitng the times to calculate the positions, we have:
Have a nice day!
Step-by-step explanation:
Just pick a bunch of values of x, and use the formula to find the corresponding value of y.
For example
When x = 0, y = 0+5 = 5 ----> Plot the point (0,5) on graph paper
When x = 1, y = 1+5 = 6 ----> Plot the point (1,6) on graph paper
When x = 2, y = 2+5 = 7 ----> Plot the point (2,7) on graph paper
Then connect the dots to get a linear graph. You should get a graph that looks like the one attached.
