Suppose that an object starts with an initial velocity of v 0 (in ft/sec) and moves under a constant acceleration a in ft/sec 2 . Then the velocity v n (in ft/sec) after n seconds is given by v n = v 0 + a n . Show that this sequence is arithmetic.
Suppose that an object starts with an initial velocity of v 0 (in ft/sec) and moves under a constant acceleration a in ft/sec 2 . Then the velocity v n (in ft/sec) after n seconds is given by v n = v 0 + a n . Show that this sequence is arithmetic.
Solution Summary: The author explains that the sequence, v_n = arithmetic, where, the initial velocity, constant acceleration, and velocity after n seconds should be constant.
Suppose that an object starts with an initial velocity of
v
0
(in ft/sec) and moves under a constant acceleration
a
in ft/sec
2
. Then the velocity
v
n
(in ft/sec) after
n
seconds is given by
v
n
=
v
0
+
a
n
. Show that this sequence is arithmetic.
A 20 foot ladder rests on level ground; its head (top) is against a vertical wall. The bottom of the ladder begins by being 12 feet from the wall but begins moving away at the rate of 0.1 feet per second. At what rate is the top of the ladder slipping down the wall? You may use a calculator.
Explain the focus and reasons for establishment of 12.4.1(root test) and 12.4.2(ratio test)
University Calculus: Early Transcendentals (4th Edition)
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