1. A particle moves along the x-axis according to x(t) = 10t-2.5t² m. Assume all quantities are correct to 2 significant figures. (a) What is the instantaneous velocity at t = 2.4 s and t = 3 s? Enter to 2 significant figures v(t = 2.4 s) = v(t=3s) = s(t = 3 s) = Vavg (b) What is the instantaneous speed at these times? Enter to 2 significant figures s(t = 2.4 s) = = m m m S S S m S (c) What is the average velocity between t = 2.4 s and t = 3 s? Enter to 2 significant figures m S
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.
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![1. A particle moves along the x-axis according to x(t) = 10t-2.5t² m.
Assume all quantities are correct to 2 significant figures.
(a) What is the instantaneous velocity at t = 2.4 s and t = 3 s?
Enter to 2 significant figures
v(t = 2.4 s) =
v(t=3s) =
s(t = 3 s) =
(b) What is the instantaneous speed at these times?
Enter to 2 significant figures
s(t = 2.4 s) =
Vavg
m
✓ S
=
m
m
S
S
m
S
(c) What is the average velocity between t = 2.4 s and t = 3 s?
Enter to 2 significant figures
m
S](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F8512e4d2-f559-44cb-9fee-36fee0c29e9a%2F65b4df21-9e07-47a4-8853-f1934ec2327b%2Fumbbfkv_processed.png&w=3840&q=75)
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