lim_(h->0) f(h)
=
(g) A time
t>1
when the positron's instantaneous velocity is zero is
(h) Where is the positron located at the time you found in (g)
7.
12/12 points |
Previous Answers
The location
P(t)
of an object moving in the
xy
-plane at time
t
seconds is given by the equations
P(t)=
(x(t),y(t))
, where
x(t)=a +
9
t
and
y(t)=b +
8
t
,
a,b
are constants and distances are measured in units of
meters. The equations
x(t), y(t)
describe
linear parametrized motion
; see section 10.1 of the textbook
for review.
(a) The location of the object at time
t=1
is (
)
(b) The average rate of change of
x(t)
between 1 and 2 seconds is
m/s; this is called the average velocity of
x(t)
on the time interval [1,2].
(c) The instantaneous rate of change of
x(t)
at time
t=1
is
m/s; this is
called the instantaneous horizontal velocity at time
t=1
(d) What is the instantaneous horizontal velocity of the object at time
t
(e) The average rate of change of
y(t)
between 1 and 2 seconds is
m/s; this is called the average velocity of
y(t)
on the time interval [1,2].
(f) The instantaneous rate of change of
y(t)
at time
t=1
is
m/s; this is
called the instantaneous vertical velocity at time
t=1
(g) What is the instantaneous vertical velocity of the object at time
t
,
.
?
.
?

2/21/14, 2:38 PM
Chapter 2.7 HW, Part 2
Page 9 of 11
(h) The line along which the object is moving in the plane has the equation:
y=
x
+
(i) Let
d(t)
be the distance the object has traveled after
t
seconds. The formula for
d(t)
.
is
.
(j) The instantaneous rate of change of
d(t)
at time
t
is
.
This is called the
speed
along the line of motion.

2/21/14, 2:38 PM
Chapter 2.7 HW, Part 2
Page 10 of 11