44. (II) An unmarked police car traveling a constant 95 km/h is passed by a speeder traveling 135 km/h. Precisely 1.00s after the speeder passes, the police officer steps on the accelerator; if the police car's acceleration is 2.00 m/s², how much time passes before the police car overtakes the speeder (assumed moving at constant speed)?
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.
Can you please solve number 44?
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FIGURE 2-42 Problem 43.
44. (II) An unmarked police car traveling a constant 95 km/h is
passed by a speeder traveling 135 km/h. Precisely 1.00s
after the speeder passes, the police officer steps on the
accelerator; if the police car's acceleration is 2.00 m/s², how
much time passes before the police car overtakes the
speeder (assumed moving at constant speed)?
45. (III) Assume in Problem 44 that the speeder's speed is not
known. If the police car accelerates uniformly as given
above and overtakes the speeder after accelerating for
7.00s, what was the speeder's speed?
46. (III) A runner hopes to complete the 10,000-m run in less
than 30.0 min. After running at constant speed for exactly
27.0min, there are still 1100 m to go. The runner must then
accelerate at 0.20 m/s for how many seconds in order to
achieve the desired time?
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