Driving down the road at a speed of 34.4 m/s, you suddenly notice a fallen tree blocking the road a distance of 87.3 m ahead of you. You step on the brake pedal and decelerate at a constant rate. What must the magnitude of your acceleration be so that you will come to a stop 6.6 m in front of the tree?
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.
Driving down the road at a speed of 34.4 m/s, you suddenly notice a fallen tree blocking the road a distance of 87.3 m ahead of you. You step on the brake pedal and decelerate at a constant rate. What must the magnitude of your acceleration be so that you will come to a stop 6.6 m in front of the tree?
A) 7.33 m/s^2
B) 6.78 m/s^2
C) 6.30 m/s^2
D) 14.66 m/s^2
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