Answer:
1 m/s2
Step-by-step explanation:
Olive Oyl's weight = 10 × 9.81 = 98.1 N
This weight is a force acting downward because it is due to gravity.
Popeye pulls Olive Oyl up with a force of 108.1 N. Both forces act vertically but in opposite directions. Hence their resultant, R, is their difference and is in the direction of the larger force.
R = 108.1 N - 98.1 N = 10 N
This force causes an acceleration, a, on the mass, m, of Popeye.
R = ma
a = R/m = 10 N/10 kg = 1 m/s2
No it’s not because (6,2) would be a no solution so no
We solve this by the definition of slope in analytical geometry. The definition of slope is the rise over run. In equation, that would be
m = Δy/Δx = (y₂-y₁)/(x₂-x₁)
The x-coordinates here are the t values, while the y-coordinates are the f(t) values. So, let's find the y values of the boundaries.
At t=2: f(t)= 0.25(2)²<span> − 0.5(2) + 3.5 = 3.5
Point 1 is (2, 3.5)
At t=6: </span>f(t)= 0.25(6)² − 0.5(6) + 3.5 = 9.5
Point 2 is (6, 9.5)
The slope would then be
m = (9.5-3.5)/(6-2)
m = 1.5
Hence, the slope is 1.5. Interpreting the data, the rate of change between t=2 and t=6 is 1.5 thousands per year.
