When the direction is reversed velocity = 0
v = ds/dt = 6t^2 - 42t + 60 = 0
t^2 - 7t + 10 = 0
(t - 5)(t - 2) = 0
t = 2 s and 5 s which are the times when the direction is reversed
Position at t = 2 = 2(2)^3 - 21(2)^2 +60(2) + 3 = 55 feet
at t = 5 position = 28 feet
Acceleration = dv/dt = 12t - 42
At t = 2 acceleration = -18 ft s-2
At t = 5 ............... = 18 ft s-2
Answer:
2.29 rads
Step-by-step explanation:
The length of the arc of a circle of radius r is given by;
l = rθ ---------------------------(i)
Where;
l = length of the arc
θ = central angle o that intercepts that arc and measured in radians.
From the question:
l = 16ft
r = 7ft
Substitute these values into equation (i) as follows;
16 = 7θ
Make θ subject of the formula
θ = 
θ = 2.29
Therefore, the radian measure of the central angle is 2.29 rads
The answer is y-x because there are y seats and x people leave and the key word is leave. When there is words like leave or less those give you hints that mean you are subtracting.
It's equivalent to 1/5 square roots of x^2
Answer:
a. x is equal to 54.5
Step-by-step explanation:
The interior angles of a pentagon will add up to 540. Since it is a regular pentagon, each angle would be 108 degrees. So we can set the value of the angle to 108 and solve for x.
2x - 1 = 108
2x = 109
x = 54.5
