A racing car starts from rest and reaches a final speed v in a time interval of tafter traveling a distance on a straight line. If the acceleration a of the car is constantduring this time, which of the following statements can not be true? (a) The car travelsa distance of v2/2at. (b) The acceleration of the car is v/t. (c) The velocity of the car at t/2(at one half of the time interval t) is 1/2 at2.A) Statement (a) onlyB) Statement (b) onlyC) Statement (a) and (c)D) Statements (b) and (c)
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.
A racing car starts from rest and reaches a final speed v in a time interval of t
after traveling a distance on a straight line. If the acceleration a of the car is constant
during this time, which of the following statements can not be true? (a) The car travels
a distance of v2/2at. (b) The acceleration of the car is v/t. (c) The velocity of the car at t/2
(at one half of the time interval t) is 1/2 at2.
A) Statement (a) only
B) Statement (b) only
C) Statement (a) and (c)
D) Statements (b) and (c)
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