11.33 An airplane begins its take-off run at A with zero velocity and a constant acceleration a. Knowing that it becomes airborne 30 s later at B and that the distance AB is 900 m, determine (a) the acceleration a (b) the take-off velocity VB. A popooccnapada 0 24 B Fig. P11.33 11.34 A motorist is traveling at 54 km/h when she observes that a traffic 1 CC he in timed to stay
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.
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11.33 An airplane begins its take-off run at A with zero velocity and a
constant acceleration a. Knowing that it becomes airborne 30 s later
at B and that the distance AB is 900 m, determine (a) the acceleration a
(b) the take-off velocity VB.
A
00000
Fig. P11.34
OO
00000000
Fig. P11.33
11.34 A motorist is traveling at 54 km/h when she observes that a traffic
light 240 m ahead of her turns red. The traffic light is timed to stay
red for 24 s. If the motorist wishes to pass the light without stopping
just as it turns green again, determine (a) the required uniform decel-
eration of the car, (b) the speed of the car as it passes the light.
54 km/h
240 m
11.35 Steep safety ramps are built beside mountain highways to enable
vehicles with defective brakes to stop safely. A truck enters a 750-ft
ramp at a high speed vo and travels 540 ft in 6 s at constant decelera-
tion before its speed is reduced to vo/2. Assuming the same constant
deceleration, determine (a) the additional time required for the truck
to stop (b) the additional distance traveled by the truck.
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