George (who has poor eyesight and has forgotten his glasses) is driving his car down a straight roadway at 21.7 m/s when he suddenly notices a brick wall erected in the middle of the road 87.2 m away from where he is now. After a 1.10s reaction time, he slams on the brakes, slowing his car down with a constant acceleration of magnitude 4.90 m/s². Calculate George's total stopping distance (to be more precise: calculate what would be George's total stopping distance if the wall were not there). Does he stop in time or does he hit the wall?
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.
George (who has poor eyesight and has forgotten his glasses) is driving his car down a straight roadway at 21.7 m / s when he suddenly notices a brick wall erected in the middle of the road 87.2 m away from where he is now. After a 1.10 s reaction time, he slams on the brakes, slowing his car down with a constant acceleration of magnitude 4.90 m / s ^2.
Calculate George's total stopping distance (to be more precise: calculate what would be George's total stopping distance if the wall were not there). Does he stop in time or does he hit the wall?
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