Answer:
-29.61m/s
Step-by-step explanation:
To find the average speed of the pencil after dropping it for 2.8 seconds, we start with the fall distance equation for the student, s(t) = −16t² + 8√t. First, we differentiate this function since velocity is the rate of change of distance with respect to time, expressed as
V = d(s(t))/dt
s(t) = −16t² + 8t^1/2
V = -32t + 1/2(8)t^(1/2 - 1)
V = -32t + 4t^-1/2
To find the average speed, we substitute t = 2.8 into the derived equation since the pencil reaches the ground precisely after 2.8 seconds.
V = -32t + 4(2.8)^-1/2
V = -32 + 4/√2.8
V = -32 + 4/1.6733
V = -32 + 2.391
v = -29.61m/s
Thus, the average speed at which it fell is -29.61m/s
Response:
We define a line L.
In a two-dimensional space, a line can be expressed as follows:
y = a*x + b
where 'a' denotes the slope and 'b' represents the y-intercept.
To determine the slope for a line passing through points (x1, y1) and (x2, y2), the formula is:
a = (y2 - y1)/(x2 - x1).
Using one of these points will help to find the value of 'b'.
Once we have the line's equation:
y = a*x + b
we can substitute in a specific point (x, y)
to verify if the equation holds true. If it does, that point lies on the line L.
8 over 45.
I hope this was helpful.
