2. A vehicle (SUV) is to overtake a bus as it enters an acceleration lane. The speed of the SUV is 80 kph initially. The bus is at the same speed as the SUV. Given the perception reaction time as 2.70 seconds and the average acceleration of the vehicle is 2.55 m/s, solve the following: a. The distance (in ft) traversed during the perception and reaction time and during the initial acceleration to the point of encroachment on the left lane. b. The distance (in yard) travelled by the passing vehicle occupies the left lane if the opposing vehicle travelled at 75 kph and the time for the passing vehicle to occupy the left lane is 20 seconds. c. The minimum passing sight distance (in m) if the SUV's velocity to overtake the bus is 55.92 miles per hour while the distance between the opposing vehicle and the SUV after its maneuver is 29s ft. The time for the SUV to occupy the left lane is 0.23 minutes. d. The passing sight distance (in furlong) that the SUV could move while overtaking the slow-moving bus before meeting the on-coming opposing vehicle if the velocity of SUV increases to 90 kph and the time for it to occupy the left lane is 12.50 seconds. The opposing vehicle travels at a speed of 70 kph and the time for it to reach a point before it passes the SUV is 0.18 minutes. The between the SUV at the end of its maneuver and the opposing vehicle is 91.60 yards.
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.
note: last sentence in "d" is: The distance between the SUV at the end of its maneuver and the opposing vehicle is 91.60 yards
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