A graph of v(t) is shown for a world-class track sprinter in a 100-m race. (See figure below. For each answer, enter a number.) Velocity (m/s) 420 14 12 2 0 2 Runner Velocity vs. Time Time (s) 8 10 (a) What is his average velocity (in m/s) for the first 4 s? m/s (b) What is his instantaneous velocity (in m/s) at t = 7 s? m/s (d) What is his time (in s) for the race? S 12 (c) What is his average acceleration (in m/s2) between 0 and 4 s? m/s²
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.
![A graph of v(t) is shown for a world-class track sprinter in a 100-m race. (See figure below. For each answer, enter a number.)
Velocity (m/s)
14
12
10
6
2
0
0
2
Runner Velocity vs. Time
4
6
Time (s)
8
10
(a) What is his average velocity (in m/s) for the first 4 s?
m/s
(b) What is his instantaneous velocity (in m/s) at t = 7 s?
m/s
(d) What is his time (in s) for the race?
12
(c) What is his average acceleration (in m/s²) between 0 and 4 s?
m/s²](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F08b3a836-a24a-4d13-af71-8af528c6e51a%2F8a06266f-fa60-434f-87eb-51b86eb85066%2F7qggqrh_processed.png&w=3840&q=75)
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