Answer:
a) v(t) = 14-2t.
b) The particle is moving in a positive direction in the interval [0,7) and it's moving a negative direction in the interval
c) the particles changes direction at t=7.
Step-by-step explanation:
Recall that . We will assume that whenever its velocity is positive, it is moving in a positive direction and that whenever the velocity is negative, it is moving in a negative direction. We know that the particle changes direction when the velocity passes from positive to negative or viceversa, as t goes by.
To calculate the velocity (t), we will derivate s(t) with respect to t. Recall that given a functio of the form its derivative is . Thus, using the properties of derivatives we get that
.
We can see that 14-2t>0 if 14>2t which is equivalent that 7>t. So the particle moves in a positive direction whenever . On the same way, 14-2t<0 when t>7 ( and it changes direction at t=7 since it passes from positive to negative.
Answer:
Number of cookies produced in 8 hour are 10,600 cookies.
Step-by-step explanation:
If the production rate of cookies in a bakery is 1325 cookies per hour, we need to tell how many cookies will be produced in 8 hour shift.
Number of cookies produced in 1 hour = 1325 cookies
Number of cookies produced in 8 hour = 1325 * 8
= 10,600 cookies.
So, Number of cookies produced in 8 hour are 10,600 cookies.
Answer:
0.23
Step-by-step explanation: