Hi there!
We can create an equation for the line PR using the given coordinates. Use the following formula for the slope:
Plug in the coordinates for P and R:
Find the equation by using point-slope form:
y - y1 = m(x - x1)
Plug in a coordinate and the slope:
y - (-5) = -4/3(x - ( - 1))
Simplify:
y + 5 = -4/3(x + 1)
To find the y-coordinate if x = 2, plug in the x value:
y + 5 = -4/3(2 + 1)
y + 5 = -4/3(3)
y + 5 = -4
y = -9
Thus, the coordinate is (2, -9)
Answer:
Step-by-step explanation:
1. You know that the force acting on the object varies directly with the object's acceleration. Then, by definition, you have:
Where is the force acting on the object,
is the object's acceleration and
is the constant of proportionality.
2. Keeping this on mind, you can calculate the constant of proportionality by substituting and
into the equation and solving for
:
3. Now, you can calculate the force when the acceleration of the object becomes 5 m/s², as following:
3. The result is: