(a) Find the differential equation satisfied by v(t) O A. dv V + dt 40 O B. dv V dt 40 None of the given answers is correct. dv dt C. O D. OE. = -9.81 v dv 10 dt = 9.81 +10v=19.62 = 19.62 (b) The velocity of the shell is: O A. v(t)=-392.4+492.4 e t 40 OB. None of the given answers is correct. O C. t 40 $ v(t)=-392.4 +492.4 e OD. v(t)=√10000 + 392.4t

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
icon
Related questions
Question
100%
(a) Find the differential equation satisfied by v(t)
A. dv V
dt
40
00
B. dv V
dt 40
+
D. dv
dt
OC. None of the given answers is correct.
O E.
= -9.81
= 9.81
v dv
10 dt
+10v=19.62
= 19.62
(b) The velocity of the shell is:
A.
v(t) = -392.4+492.4 e
t
40
OB. None of the given answers is correct.
O C.
t
40
v(t) = 392.4 +492.4 e
OD. v(t)=√10000 + 392.4t
Transcribed Image Text:(a) Find the differential equation satisfied by v(t) A. dv V dt 40 00 B. dv V dt 40 + D. dv dt OC. None of the given answers is correct. O E. = -9.81 = 9.81 v dv 10 dt +10v=19.62 = 19.62 (b) The velocity of the shell is: A. v(t) = -392.4+492.4 e t 40 OB. None of the given answers is correct. O C. t 40 v(t) = 392.4 +492.4 e OD. v(t)=√10000 + 392.4t
Suppose that the vertical position axis x is oriented upward
A shell of mass 2 kg is shot upward with an initial velocity of 100 m/sec. The magnitude of the force due to air resistance is
with x = 0 at ground level. Denote by x(t) and v(t) the position and velocity of the shell at time t (in seconds). The acceleration due to gravity has magnitude g=9.81 m/sec².
20
The following numerical values might be useful in the calculations:
In 1.96= 0.764, In 98.04 =4.58, In 392.4 = 5.97, In 492.4 = 6.20
(a) Find the differential equation satisfied by v(t)
O A. dv V
+
dt 40
= -9.81
Transcribed Image Text:Suppose that the vertical position axis x is oriented upward A shell of mass 2 kg is shot upward with an initial velocity of 100 m/sec. The magnitude of the force due to air resistance is with x = 0 at ground level. Denote by x(t) and v(t) the position and velocity of the shell at time t (in seconds). The acceleration due to gravity has magnitude g=9.81 m/sec². 20 The following numerical values might be useful in the calculations: In 1.96= 0.764, In 98.04 =4.58, In 392.4 = 5.97, In 492.4 = 6.20 (a) Find the differential equation satisfied by v(t) O A. dv V + dt 40 = -9.81
Expert Solution
Step 1

Advanced Math homework question answer, step 1, image 1

steps

Step by step

Solved in 3 steps with 3 images

Blurred answer
Recommended textbooks for you
Advanced Engineering Mathematics
Advanced Engineering Mathematics
Advanced Math
ISBN:
9780470458365
Author:
Erwin Kreyszig
Publisher:
Wiley, John & Sons, Incorporated
Numerical Methods for Engineers
Numerical Methods for Engineers
Advanced Math
ISBN:
9780073397924
Author:
Steven C. Chapra Dr., Raymond P. Canale
Publisher:
McGraw-Hill Education
Introductory Mathematics for Engineering Applicat…
Introductory Mathematics for Engineering Applicat…
Advanced Math
ISBN:
9781118141809
Author:
Nathan Klingbeil
Publisher:
WILEY
Mathematics For Machine Technology
Mathematics For Machine Technology
Advanced Math
ISBN:
9781337798310
Author:
Peterson, John.
Publisher:
Cengage Learning,
Basic Technical Mathematics
Basic Technical Mathematics
Advanced Math
ISBN:
9780134437705
Author:
Washington
Publisher:
PEARSON
Topology
Topology
Advanced Math
ISBN:
9780134689517
Author:
Munkres, James R.
Publisher:
Pearson,