2. Molly speeds along a straight road at a constant speed of 15.0 m/s. Just as she passes a parked motorcycle police officer, the officer starts to accelerate at 2.00 m/s² to overtake her. (a) Assuming the officer maintains this acceleration, determine the time it takes the police officer to reach Molly. (b) Find the speed and the total displacement of the officer as he overtakes Molly. 3. In a 100-m race, Henry and Ben cross the finish line in a dead heat, both taking 10.2 s. Accelerating uniformly, Ben took 2.00 s and Henry 3.00 s to attain maximum speed, which they maintained for the rest of the race. (a) What was the acceleration of each sprinter? (b) What were their respective maximum speeds? (c) Which sprinter was ahead at the 6.00-s mark, and by how much?
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.
![2. Molly speeds along a straight road at a constant speed of 15.0 m/s. Just as she passes a
parked motorcycle police officer, the officer starts to accelerate at 2.00 m/s? to overtake
her.
(a) Assuming the officer maintains this acceleration, determine the time it takes the
police officer to reach Molly.
(b) Find the speed and the total displacement of the officer as he overtakes Molly.
3. In a 100-m race, Henry and Ben cross the finish line in a dead heat, both taking 10.2
s. Accelerating uniformly, Ben took 2.00 s and Henry 3.00 s to attain maximum speed,
which they maintained for the rest of the race.
(a) What was the acceleration of each sprinter?
(b) What were their respective maximum speeds?
(c) Which sprinter was ahead at the 6.00-s mark, and by how much?
4. A quarter is dropped from rest into a well. (Ignore air resistance!)
(a) If the sound of the splash is heard 2.40 s later, how far below the top of the well is
the surface of the water? The speed of sound in air (at the ambient temperature)
is 340 m/s.
(b) If the travel time for the sound is neglected, what percentage error is introduced
when the depth of the well is calculated?](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F380791ba-64e9-4daa-ae6c-a240fab9fad1%2F5d2d23ce-4fcb-46c5-b0e8-eac7d2ac690b%2F1y5he3u_processed.jpeg&w=3840&q=75)
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