4. A particle moves according to the equation x=20t2, where x is in meters and tis in seconds. (a) Find the average velocity for the time interval from 4.00 s to 5.00 s. (b) Find the average velocity for the time interval from 3.00 to 3.10 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.
please answer number 4 with a complete solution
![3 A person travels by car from one city to another with
different constant speeds between pairs of cities. She
drives for 30.0 min at 80.0 km/h, 12.0 min at 100 km/h,
and 45.0 min at 40.0 km/h and spends 15.0 min eat-
ing lunch and buying gas. (a) Determine the average
speed for the trip. (b) Determine the distance between
the initial and final cities along the route.
Note: For (a), express your answer in m/s, and for (b), express your answer in m.
4. A particle moves according to the equation x=20t?, where x is in meters and tis in
seconds. (a) Find the average velocity for the time interval from 4.00 s to 5.00 s. (b) Find
the average velocity for the time interval from 3.00 to 3.10 s.
5. The position of a particle moving along the x-axis varies in time according to the
expression x =4t?, where x is in meters and tis in seconds. Evaluate its position (a) at
t=4.00 s and (b) at 4.00 s + At. (c) Evaluate the limit of Ax/Atas Atapproaches zero to
find the velocity at t=4.00 s.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9ae659db-063f-49c9-889f-d1977fa599e8%2F69244b4e-1492-4a83-ba44-e236093f6326%2Fa1nt8po_processed.png&w=3840&q=75)
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