A train which is traveling at 100 mi/hr applies its brakes as it reaches point A and slows down with a constant deceleration. Its decreeased velocity is boserved to be 60 mi/hr as it passes a point 1/2 mile beyoind A. A car moving at 50 mi/hr passes B at the same instant that the train reaches point A. In an unwise effort to beat the train to the crossing, the driver "steps on the gas" Calculate the constant acceleration a that the car must have in order to beat the train to crossing by 4 sec and find the velocity v of the car as it reaches the crossing. Note: 1 mi = 5280 ft Train 1 mi 100 mi/hr 50 mi/hr B Car 1.3 mi
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.
![A train which is traveling at 100 mi/hr applies its brakes as it
reaches point A and slows down with a constant deceleration. Its
decreeased velocity is boserved to be 60 mi/hr as it passes a
point 1/2 mile beyoind A. A car moving at 50 mi/hr passes B at the
same instant that the train reaches point A. In an unwise effort to
beat the train to the crossing, the driver "steps on the gas" Calculate
the constant acceleration a that the car must have in order to beat the
train to crossing by 4 sec and find the velocity v of the car as it
reaches the crossing. Note: 1 mi = 5280 ft
Train
1 mi
100 mi/hr
50 mi/hr
B
Car
1,3 mi](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F69da5a02-95bf-4a46-b837-100cfe1cc886%2F517bcef1-e78a-46dc-8485-40e253b8739e%2F12p77c_processed.jpeg&w=3840&q=75)
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