Answer:0.246 ft/s
Step-by-step explanation: As the worker starts moving and stops 10 feet away from the side rope connected to the load, it creates a right triangle, as illustrated in the image.
V = s/t... equation 1
S = distance the worker travels while pulling the rope = 10 ft
V = worker's velocity = 2 ft/s
T = time it takes for the worker to cover 10 ft = the same time the load takes to rise = 5 seconds
Using Pythagorean theorem to find the distance from the pulley to the new position of the worker
Square root of (40^2 + 10^2) = 41.23 ft
Distance covered by load = D = 41.23 - 40
= 1.23 ft
Load speed = D/t...equation 2
Substituting D and t into equation 2 gives us
Load speed = 1.23/5 = 0.246 ft/s
Answer:
Step-by-step explanation:
The graph can take on three forms as displayed in the figure.
(a) having no intersections
(b) having a single point of intersection (tangency)
(c) having two points of intersection.
Consequently, the maximum number of intersections that these graphs can yield is 2, as illustrated in figure (c).
We have a piecewise function consisting of a parabolic graph and a linear graph.
When the parabolic graph of is elevated by 6 units, the new equation becomes
.
Given that the parabola aligns with this requirement, its equation can be expressed as
The parabola extends to x=3, where there is an open circle at this point. Thus, we need to use a less than sign.
Next, the line's equation is determined as
Since there is a solid dot, we must employ the greater than or equal to sign.
Consequently, the piecewise function's equation is derived as
C is the right choice.