Assume you are driving at the speed limit v0. As you approach an intersection 21.5 m wide, you see the light turn yellow. During your reaction time of 0.590 s, you travel at constant speed as you recognize the warning, decide whether to stop or to go through the intersection, and move your foot to the brake if you must stop. Your car has good brakes and can accelerate at -2.6 m/s2. Before it turns red, the light should stay yellow long enough for you to be able to get to the other side of the intersection without speeding up, if you are too close to the intersection to stop before entering it. (a) Find the required time interval Δty that the light should stay yellow in terms of v0. Δty = (b) Evaluate your answer for v0 = 8.00 m/s = 28.8 km/h. (c) Evaluate your answer for v0 = 11.00 m/s = 40.2 km/h. (d) Evaluate your answer for v0 = 18.00 m/s = 64.8 km/h. (e) Evaluate your answer for v0 = 25.00 m/s = 90.0 km/h.
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.
Assume you are driving at the speed limit v0. As you approach an intersection 21.5 m wide, you see the light turn yellow. During your reaction time of 0.590 s, you travel at constant speed as you recognize the warning, decide whether to stop or to go through the intersection, and move your foot to the brake if you must stop. Your car has good brakes and can accelerate at -2.6 m/s2. Before it turns red, the light should stay yellow long enough for you to be able to get to the other side of the intersection without speeding up, if you are too close to the intersection to stop before entering it.
Δty =
(c) Evaluate your answer for v0 = 11.00 m/s = 40.2 km/h.
(d) Evaluate your answer for v0 = 18.00 m/s = 64.8 km/h.
(e) Evaluate your answer for v0 = 25.00 m/s = 90.0 km/h.
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