In the figure below, lines m and n are Parallel:
1 answer:
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Hi there!
a. Find the displacement by plugging in the values of the interval:
f(2) - f(0) = 0 - 2 = -2 meters.
Average velocity is the slope, thus:
The average velocity for the interval is -1 m/s.
b. To find the speed at the endpoints, we must take the derivative to get the velocity equation:
f(t) = t² - 3t +2
f'(t) = 2t - 3, at t = 0, speed = |-3| = 3 m/s. At t = 2, speed = 2(2) - 3 = 1 m/s.
Acceleration is the second derivative, thus:
f''(t) = 2. The acceleration is 2 m/s² for both endpoints.
c. When the body changes direction, the first derivative changes signs. Thus:
0 = 2t - 3
3 = 2t, t = 1.5 sec. This is where the body changes direction.
Answer:
An equation in point-slope form that represents Byron’s distance from home, y, after x hours is y=4x+2
Step-by-step explanation:
Speed of Byron = 4 miles / hour
Distance traveled in x hours =
Distance traveled in x hours = 4x
We are given that After half an hour of running, he is 2 miles from home
So, Total distance = 4x+2
So, y = 4x+2
Hence an equation in point-slope form that represents Byron’s distance from home, y, after x hours is y=4x+2