1. Determine the equation of the family of the curves whose slope is
3x – 5.
Also find the equation of the member whose curve passes through point
(1, 1).
2. A body is thrown vertically upward from the ground with an initial velocity
of 64 ft/sec. Find the maximum height attained by the body. Regardless of
frictional force, determine the total time the body returns to the ground.
(note: a = 32ft/sec2)
1. The slope of the curve is given by
Integrate both sides with respect to
The equation of the family of the curves is
As the curve passes through the point we have,
The equation of the curve pasiing through the point is
1.
The equation of the motion of the body along the positive y-axis is
The body attains the maximum height when
Substitute
Given
The body returns to the ground when
The maximum height attained by the body is
The body returns to the ground after the start.
Comments
Leave a comment