Need help with problem 61 pls

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
Question
Need help with problem 61 pls
Del
Jan
Feb
Mar
68. Writin
FIGURE 2.33 Normal mean air temperatures at Fairbanks,
Alaska, plotted as data points, and the approximating sine
function. (Exercise 60)
X = -
is ne
g'(-
T 69. The
61. Particle motion The position of a particle moving along a coordi-
-2
nate line iss =
V1 + 4t , with s in meters and t in seconds. Find
the particle's velocity and acceleration at t =
6 sec.
62. Constant acceleration Suppose that the velocity of a falling body
is v = kVs m/sec (k a constant) at the instant the body has fallen
sm from its starting point. Show that the body's acceleration is T 70. The
for
cluc
Exp
constant.
63. Falling meteorite The velocity of a heavy meteorite entering
Earth's atmosphere is inversely proportional to Vs when it is s
km from Earth's center. Show that the meteorite's acceleration is
inversely proportional to s².
The
for
64. Particle acceleration A particle moves along the x-axis with veloc-
ity dx/dt = f(x). Show that the particle's acceleration is
f(x)f'(x).
Wha
T The curw
sajous fr
quadrant
equation
03. Temperature and the period of a pendulum For oscillations of small
Transcribed Image Text:Del Jan Feb Mar 68. Writin FIGURE 2.33 Normal mean air temperatures at Fairbanks, Alaska, plotted as data points, and the approximating sine function. (Exercise 60) X = - is ne g'(- T 69. The 61. Particle motion The position of a particle moving along a coordi- -2 nate line iss = V1 + 4t , with s in meters and t in seconds. Find the particle's velocity and acceleration at t = 6 sec. 62. Constant acceleration Suppose that the velocity of a falling body is v = kVs m/sec (k a constant) at the instant the body has fallen sm from its starting point. Show that the body's acceleration is T 70. The for cluc Exp constant. 63. Falling meteorite The velocity of a heavy meteorite entering Earth's atmosphere is inversely proportional to Vs when it is s km from Earth's center. Show that the meteorite's acceleration is inversely proportional to s². The for 64. Particle acceleration A particle moves along the x-axis with veloc- ity dx/dt = f(x). Show that the particle's acceleration is f(x)f'(x). Wha T The curw sajous fr quadrant equation 03. Temperature and the period of a pendulum For oscillations of small
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