Speedy Sue, driving at +30.0 m/s, enters a one-lane tunnel. She then observes a slow- moving van 200 m ahead traveling at +2.00 m/s (because it has engine trouble). Sue applies the brakes immediately and accelerates at -3.00 m/s2 to come to a stop. a)Determine the separation distance “s” between Sue’s car and the van as a function of time t, with t = 0 when Sue enters the tunnel. b)Determine the closest separation distance that Sue’s car came to the van.
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 +30.0 m/s, enters a one-lane tunnel. She then observes a slow- moving van 200 m ahead traveling at +2.00 m/s (because it has engine trouble). Sue applies the brakes immediately and accelerates at -3.00 m/s2 to come to a stop.
a)Determine the separation distance “s” between Sue’s car and the van as a function
of time t, with t = 0 when Sue enters the tunnel.
b)Determine the closest separation distance that Sue’s car came to the van.
Trending now
This is a popular solution!
Step by step
Solved in 4 steps with 4 images
