As the comments state, the velocity is the derivative of the position.
Therefore, the velocity as function of time is:
ds / dt = 24 + 6t - 3t^2.
That is a parabola whose maximum is (1,27). With that you know that the velocity will never be either 63 m/s or 81 m/s.
Also, you know that the velocity at t = 1 s is 27 m/s.
And, you can also find that the velocity at t = 3 is 15 m/s.
I am confident on that this analysis solves your question. Else, insert a comment.
Answer:
A. Plant 1 is growing at a faster rate than Plant 2.
Step-by-step explanation:
The slope (m) or rate of growth in Plant 1 is;
m = Change in y ÷ change in x
m = = 2
The linear equation of growth in Plant 1 is;
= 2
y = 2x + 1.5
The equation of growth in Plant 2 is; y = 1.5x + 3 (slope of 1.5)
Since the slope in growth of Plant 1 is greater than that in Plant 2, it implies then that Plant 1 is growing at a faster rate than Plant 2.
Function:
y = -2/3 x + 7
Substitute the given values to their respective variable and solve.
x y
-6 3
3 5
15 -3
-12 15
Answer:1/4
Step-by-step explanation: