A car rounds the clover-leaf at 13 "/s as it enters the 400 meter-long merge zone. a) What acceleration would get its velocity to 31 m/s by the end of the merge zone? +3.960 m/s2 +1.980 m/s2 +0.990 "/s2 +0.0225 "/s2 +1.201 m/s2 +0.405 "/s2
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.
Answer:- + 0.990 m/s2
Given
Initial velocity (u) = 13 m/s
Final Velocity (V) = 31 m/s
Distance (S) = 400 m
Acceleration (a) =?
We know that
V2 = u2 + 2aS
(31)2 = (13)2 + 2 × a × (400)
961 = 169 + 800 a
961 - 169 = 800 a
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