S(t) = sin(πt/6) + cos(πt/6)
Velocity = s'(t) = π/6 (cos(πt/6) - sin(πt/6))
When velocity = 0
cos(πt/6) - sin(πt/6) = 0
cos^2(πt/6) -2cos(πt/6) sin(πt/6) + sin^2(πt/6) = 0
1 - 2cos(πt/6) sin(πt/6) = 0
1 - sin(πt/3) = 0
sin(πt/3) = 1
πt/3 = arcsin(1) = π/2
t = 1.5
acceleration = s''(t) = -(π/6)^2 (cos(πt/6) + sin(πt/6))
s''(1.5) = -(π/6)^2 (cos(π/4) + sin(π/4)) = -(π/6)^2 (2/√2) = -0.3877
accerelation = -0.3877 meter/s^2
Answer:
Step-by-step explanation:

Answer:
the second
Step-by-step explanation:
Answer:
12
Step-by-step explanation:
If 6 people attend lunch and they get 2 cans of juice each then there is 12 cans of juice.
A=2
B=2
C=2
D=2
E=2
F=2
Total cans of juice=12
Answer:
<h2>7 square units</h2>
Step-by-step explanation:
As you can observe in the image attached, we know the coordinates of each vertex of the triangle.
To find the area using only its vertex coordinates, we need to use the following formula

Where the coordinates are

Replacing coordinates, we have
![A=\frac{1}{2}[1(0 -5)+4(5 -1 )+3(1-0 ) ]\\A=\frac{1}{2} [-5+16+3]=\frac{1}{2}(14)\\ A=7](https://tex.z-dn.net/?f=A%3D%5Cfrac%7B1%7D%7B2%7D%5B1%280%20-5%29%2B4%285%20-1%20%29%2B3%281-0%20%20%29%20%20%5D%5C%5CA%3D%5Cfrac%7B1%7D%7B2%7D%20%5B-5%2B16%2B3%5D%3D%5Cfrac%7B1%7D%7B2%7D%2814%29%5C%5C%20A%3D7)
Therefore, the area of the triangle is 7 square units. So, the right answer is the second choice.