18. (III) An automobile traveling 95 km/h overtakes a 1.10-km- long train traveling in the same direction on a track parallel to the road. If the train's speed is 75 km/h, how long does it take the car to pass it, and how far will the car have traveled in this time? See Fig. 2-39. What are the results if the car and train are traveling in opposite directions?
Displacement, Velocity and Acceleration
In classical mechanics, kinematics deals with the motion of a particle. It deals only with the position, velocity, acceleration, and displacement of a particle. It has no concern about the source of motion.
Linear Displacement
The term "displacement" refers to when something shifts away from its original "location," and "linear" refers to a straight line. As a result, “Linear Displacement” can be described as the movement of an object in a straight line along a single axis, for example, from side to side or up and down. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Non-contact sensors such as LVDTs and other linear location sensors can calculate linear displacement. Linear displacement is usually measured in millimeters or inches and may be positive or negative.
Hello can you solve number 18 for me?
![20
30
20
50
(s/u)a
trip? [Hint: Does Eq. 2–12d apply, or not?]
15 (II) Calculate the average speed and average velocity of a
complete round trip in which the outgoing 250 km is
covered at 95 km/h, followed by a 1.0-h lunch break, and
the return 250 km is covered at 55 km/h.
161) The position of a ball rolling in a straight line is given by
rage speed of the plane for this
26. (II) A particular automobile can accel
as shown in the velocity vs. time grap
short flat spots in the curve represent
Estimate the average acceleration of
gear; and (b) fourth gear. (c) What i
tion through the first four gears?
=
2.0 – 3.6 t + 1.1 t², where x is in meters and t in
seconds. (a) Determine the position of the ball at t =
2.0 s, and 3.0 s. (b) What is the average velocity over the
interval t = 1.0 s to t
1.0s,
3.0 s? (c) What is its instanta-
4th gea
neous velocity at t = 2.0 s and at t
17. (II) A dog runs 120 m away from its master in a straight line
in 8.4 s, and then runs halfway back in one-third the time.
Calculate (a) its average speed and (b) its average velocity.
18. (III) An automobile traveling 95 km/h overtakes a 1.10-km-
long train traveling in the same direction on a track parallel
to the road. If the train's speed is 75 km/h, how long does it
take the car to pass it, and how far will the car have traveled
in this time? See Fig. 2-39. What are the results if the car
and train are traveling in opposite directions?
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40
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3.0 s?
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ear
2nd gear
1st gear
0.
FIGURE 2-40 Problem 2
high-performance automc
starting from a dead stop.
represent gear shifts.
1.10 km
v = 75 km/h
27, (II) A particle moves alo
tion of time is given by
seconds and x is in me
v = 95 km/h
function of time?
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28. (II) The position of a
t = 0 and moves in a
FIGURE 2-39 Problem 18.
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time in the following
(b) its acceleration a
Table and on a grap
19. (III) A bowling ball traveling with constant speed hits the
pins at the end of a bowling lane 16.5 m long. The bowler
hears the sound of the ball hitting the pins 2.50 s after the
ball is released from his hands. What is the speed of the ball,
0.25
(s)1
0.11
3.00 3.50
(s)1
x(m) 20.36 28.31
assuming the speed of sound is 340 m/s?
20. (1) A sports car accelerates from rest to 95 km/h in 4.5 s.
a particular automobile is capable of
29. (II) The positio
where x is in m
2-4 Acceleration
units of A and
an acceleration of about 1.8 m/s. At this rate, how long
does it take to accelerate from 80 km/h to 110 km/h?
nrinter accelerates from rest to 9.00 m/s in 1.28 s.
of time? (c)
t = 5.0 s? (d)
x = At + Bt
What is its average acceleration in m/s2?
21. (I) At highway speeds,
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tion in (a) m/s2; (b) km/h²?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F2001efb4-40b4-4f06-80ad-e82e5c658052%2Fd01b882c-a95e-4e41-8f26-54956204447b%2Fjste9x.jpeg&w=3840&q=75)
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