A body is moving along a straight line. Let s(t) represent the dis- placement of the body at time t from a fixed point O on the line while v(t) and a(t) represent velocity and acceleration of the body at time t respectively. 20m given that initially v = 40 If a = 9, find v when s = 0 and s = 10m. Hint: Using the fact that a = for v(s): dv dt dv ds ds dt dev leads to the differential equation %3D dv 40 ds s2
A body is moving along a straight line. Let s(t) represent the dis- placement of the body at time t from a fixed point O on the line while v(t) and a(t) represent velocity and acceleration of the body at time t respectively. 20m given that initially v = 40 If a = 9, find v when s = 0 and s = 10m. Hint: Using the fact that a = for v(s): dv dt dv ds ds dt dev leads to the differential equation %3D dv 40 ds s2
Elements Of Electromagnetics
7th Edition
ISBN:9780190698614
Author:Sadiku, Matthew N. O.
Publisher:Sadiku, Matthew N. O.
ChapterMA: Math Assessment
Section: Chapter Questions
Problem 1.1MA
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Question
![A body is moving along a straight line. Let s(t) represent the dis-
placement of the body at timet from a fixed point O on the line while v(t) and
a(t) represent velocity and acceleration of the body at time t respectively.
9, find v when s = 20m given that initially v = 0 and s = 10m.
40
If a =
dv
dv ds
dev leads to the differential equation
Hint: Using the fact that a
for v(s):
dt
ds dt
dv
40
V-
ds
s2](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Fba152169-79ea-4d0f-8476-ba90e7438358%2Fd093f052-d33c-4821-804a-0a953e308d66%2Foi9q6k_processed.png&w=3840&q=75)
Transcribed Image Text:A body is moving along a straight line. Let s(t) represent the dis-
placement of the body at timet from a fixed point O on the line while v(t) and
a(t) represent velocity and acceleration of the body at time t respectively.
9, find v when s = 20m given that initially v = 0 and s = 10m.
40
If a =
dv
dv ds
dev leads to the differential equation
Hint: Using the fact that a
for v(s):
dt
ds dt
dv
40
V-
ds
s2
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