Answer:
t = 1.068 s
Step-by-step explanation:
given,
a(t) =- k v(t)
speed of the object decreases from 800 ft/s to 700 ft/s
distance = 1400 ft
time for deceleration = ?
a(t) =- k v(t)


integrating both side


..........(1)
since,



![1400= -\dfrac{800}{k}[e^{-kt}-e^0]](https://tex.z-dn.net/?f=1400%3D%20-%5Cdfrac%7B800%7D%7Bk%7D%5Be%5E%7B-kt%7D-e%5E0%5D)
from equation 1
![k= -\dfrac{8}{14}[\dfrac{7}{8}-1]](https://tex.z-dn.net/?f=k%3D%20-%5Cdfrac%7B8%7D%7B14%7D%5B%5Cdfrac%7B7%7D%7B8%7D-1%5D)

putting value of k in equation (1)

t = 1.068 s
Answer:
D) y greater than equal to -1
Step-by-step explanation:
As in the graph, the line passes through y = -1 and the shaded art is above the line so all the values greater than y = -1 match the graph.
Mathematically:
y ≥ -1
i hope it will help you!
We can check each of these using the Pythagorean Theorem,

Option A:

.25 + 1.44 = 1.691.69 = 1.69
This option works
Option B

1 + 4 = 9
5 ≠ 9
This option does not work, but let's check the others to make sure
Option C:

36 + 64 = 100
100 = 100
This option works
Option D:

9 + 16 = 25
25 = 25
This option works
So, after doing the calculations, we see that option B does not work
Parallel = same slope
Slope = 1/2
Y = 1/2x + b
Plug in the point
0 = -1/2 + b, b = 1/2
Solution : y = 1/2x + 1/2
The answer is A
Answer:
60 t0 12, or 1:5, or 1/5
Step-by-step explanation: