Elizabeth accelerates from rest and accelerates at 4m/sec2 until she is traveling at 20m/sec. She then continues at a constant speed for a distance of 80m. She then applies the brakes and comes to rest over a distance of 40m. Draw a v vs. t graph and determine the total time of the trip.
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.
Elizabeth accelerates from rest and accelerates at 4m/sec2 until she is traveling at 20m/sec. She then continues at a constant speed for a distance of 80m. She then applies the brakes and comes to rest over a distance of 40m. Draw a v vs. t graph and determine the total time of the trip.
Introduction:
Motion of the object in one-dimension, two-dimension can be easily described with the help of kinematical equation of motion.
Given data:
Elizabeth accelerates from rest and accelerates at 4m/sec2
a=4m/sec2
Initial velocity of the Elizabeth is,
u= 0 m/s
Final velocity of the Elizabeth is,
v= 20 m/s
Then Elizabeth continues at a constant speed for a distance of 80m
s1= 80 m
After travelling 80 m distance she then applies the brakes and comes to rest over a distance of 40m.
s2=40 m
Formula used:
Kinematical equation of motion can be written as,
Where,
u- Initial velocity
v- Final velocity
a- Acceleration
t- Time interval
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