Speedy Sue, driving at 32.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 175 m ahead traveling at 5.30 m/s. Sue applies her brakes but can accelerate only at −1.10 m/s2 because the road is wet. Will there be a collision? If yes, determine how far into the tunnel and at what time the collision occurs. If no, determine the distance of closest approach between Sue's car and the van. (If no, enter "0" for the time.)
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.
Speedy Sue, driving at 32.0 m/s, enters a one-lane tunnel. She then observes a slow-moving van 175 m ahead traveling at 5.30 m/s. Sue applies her brakes but can accelerate only at −1.10 m/s2 because the road is wet. Will there be a collision?
If yes, determine how far into the tunnel and at what time the collision occurs. If no, determine the distance of closest approach between Sue's car and the van. (If no, enter "0" for the time.)
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