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
No 5/8 is bigger because half of 8 is 4 and 5 is greater than 4
Hello!
You have to find the probability of getting a 2
This is a 1/6 chance
Then you have to find the chance of getting a number greater than 2
This is a 4/6 chance
To find the chance of these happening at the same time you multiply these together
1/6 * 4/6 = 1/9
There is a 1/9 chance
Hope this helps!
After 15 Years it Will be $350,542
