Q1/ If the position of the particle which moving as function to the time can be expressed by the equation: x = 3t – 4t2 +t3 A-Find the position of the particle after time 4 sec. B-Find the displacement of particle during t=1 sec and t=3 sec. C- Find the average velocity of particle during t=2 sec and t=5 sec.
Q1/ If the position of the particle which moving as function to the time can be expressed by the equation: x = 3t – 4t2 +t3 A-Find the position of the particle after time 4 sec. B-Find the displacement of particle during t=1 sec and t=3 sec. C- Find the average velocity of particle during t=2 sec and t=5 sec.
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:Q1/ If the position of the particle which moving as function to the time
can be expressed by the equation:
x = 3t – 4t2 +t3
A-Find the position of the particle after time 4 sec.
B-Find the displacement of particle during t=1 sec and t=3 sec.
C- Find the average velocity of particle during t=2 sec and t=5 sec.
Q2/ A particle moving in the straight line according to equation:
x(t)
1
t3
2
+ 2t2 + 4, where x is the distance in meter and t is the
= -
time in second.
A-Find the distance which moving the particle after time 5 sec.
B- Find the average velocity of particle during t=4 sec and t=8 sec.
C- Find the velocity of particle at time equal 10 sec.
Q3/ Atom moving on the x-axis , according to equation x=2-2t+2t? +5t5
find the acceleration of the atom at time equal to 7 sec ?
Q4/ If the maximum height reaches the projectile (4 km), calculate the
launch velocity of the projectile ?
Q5/A cannon fires a projectile at the angle (30°) about horizon, at initial
velocity (300 m/sec) on an armored vehicle moving toward, it at
regular. What is the range of a projectile?
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