While entering a freeway, a car accelerates from rest at arate of 2.40 m/s2for 12.0 s. (a) Draw a sketch of thesituation. (b) List the knowns in this problem. (c) How far doesthe car travel in those 12.0 s? To solve this part, first identifythe unknown, and then discuss how you chose theappropriate equation to solve for it. After choosing theequation, show your steps in solving for the unknown, checkyour units, and discuss whether the answer is reasonable. (d)What is the car’s final velocity? Solve for this unknown in thesame manner as in part (c), showing all steps explicitly. At the end of a race, a runner decelerates from a velocityof 9.00 m/s at a rate of 2.00 m/s2. (a) How far does shetravel in the next 5.00 s? (b) What is her final velocity? (c)Evaluate the result. Does it make sense?
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.
While entering a freeway, a car accelerates from rest at a
rate of 2.40 m/s2
for 12.0 s. (a) Draw a sketch of the
situation. (b) List the knowns in this problem. (c) How far does
the car travel in those 12.0 s? To solve this part, first identify
the unknown, and then discuss how you chose the
appropriate equation to solve for it. After choosing the
equation, show your steps in solving for the unknown, check
your units, and discuss whether the answer is reasonable. (d)
What is the car’s final velocity? Solve for this unknown in the
same manner as in part (c), showing all steps explicitly.
At the end of a race, a runner decelerates from a velocity
of 9.00 m/s at a rate of 2.00 m/s2
. (a) How far does she
travel in the next 5.00 s? (b) What is her final velocity? (c)
Evaluate the result. Does it make sense?
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