1: Kinematics 4. A pedometer or fitness tracker (aka a Fitbit) can show you a value for how far the wearer has walked based on the number of steps they took and the average person's stride length. Does this value represent displacement or distance? Why?
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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Unit 1: Kinematics
4. A pedometer or fitness tracker (aka a Fitbit) can show you a value for how far
the wearer has walked based on the number of steps they took and the average
person's stride length. Does this value represent displacement or distance?
Why?
Practice Problems
5. Timothy
trying to get a soccer ball into a goal that is 35 m [South] from
where he is standing, but the opposing players are in their way. Timothy kicks
it 25m [East] to Alex who has a better line of sight of the net. If there are 2.3 s
left on the game clock, at what average velocity will the ball travel if it gets in
the net just as the horn blows?
(19 m/s [W 55deg S])
6. A rocket-powered sled accelerates Jet Pilot-in-training Catherine from rest to
270 km/h in 12.1 s, driving due South as it accelerates. What is the average
acceleration of the sled during this time?
(6.2 m/s² [S])
7. A train is travelling at 23 m/s [E] when it enters a curved portion of the track
and experiences an average acceleration of 0.14 m/s² [S] for 95 s. Determine
the velocity of the trains after this acceleration.
(27 m/s [W 30deg S])
8. A bird travelling 3.0 m/s NW turns and heads south at the same speed.
Determine its change in velocity.
10.
(5.5 m/s [S 23deg E])
9. After completing a turn, a cyclist is travelling east at 25 km/h. If her change in
velocity was 15 km/h south, determine her initial velocity.
(29 km/h [E 31deg N])
A go cart rounding a curve goes from an initial velocity of 60 km/h [S] to 40
km/h [E]. If the curve takes 2.0 s, determine the cart's acceleration.
(36km/h/s [E560N])
11. A car, moving initially at 32 km/h [N], turns a corner and continues at 32
km/h [W]. The turn takes 3.0 s to complete. Find a. the change in velocity (45
km/h [SW]) b. the average acceleration during the turn.
(15 km/h [SW])](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F64e22453-08e9-4901-b6d4-29904b54e3b3%2Fe368ea9b-3c4a-404e-8122-b98feaad6225%2Faynh5ub_processed.jpeg&w=3840&q=75)
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