The table shows the position of a motorcyclist after accelerating from rest. t (seconds) 0 1 s (feet) (i) [2, 4] (ii) [3, 4] (iii) [4, 5] (a) Find the average velocity (in ft/s) for each time period. (iv) [4, 6] X ft/s 0 4.9 10.6 23.1 50.3 X ft/s 2 ft/s 3 ft/s 4 5 6 109.4 238.0 (b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s when t = 3. (Round your answer to one decimal place.) ft/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.
![The table shows the position of a motorcyclist after accelerating from rest.
12 3
4 5
4.9 10.6 23.1
t (seconds)
s (feet) 0
(a) Find the average velocity (in ft/s) for each time period.
(i) [2, 4]
(ii) [3, 4]
(iii) [4, 5]
0
(iv) [4, 6]
X ft/s
X ft/s
ft/s
ft/s
50.3
109.4
6
238.0
(b) Plot the points in the table to create a graph of s as a function of t to estimate the instantaneous velocity (in ft/s)
when t = 3. (Round your answer to one decimal place.)
ft/s
Enhanced Feedback
Please try again. When calculating the average velocity, you are actually lculating the slope of the secant line betwee
the two given points. Use the table to calculate the difference in distance for the given time period, and divide by the
change in time. To estimate the instantaneous velocity, look for a trend in average velocity and find a value matching t
trend for the given time.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b15a2e4-841f-4430-ad46-9439390435a9%2F1fd5abef-de1d-492c-baff-8d9e23f01cbf%2Fbyit2nd_processed.png&w=3840&q=75)
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