In this first example of constant accelerated motion, we will simply consider a car that is initially traveling along a straight stretch of highway at 15 m/sm/s. At t=0t=0 the car begins to accelerate at 2.0 m/s2m/s2 in order to pass a truck. What is the velocity of the car after 5.0 ss have elapsed? If the car maintains its constant acceleration, how much additional time does it take the car to reach a velocity of 35.0 m/sm/s ? Express your answer in seconds.
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.
In this first example of constant accelerated motion, we will simply consider a car that is initially traveling along a straight stretch of highway at 15 m/sm/s. At t=0t=0 the car begins to accelerate at 2.0 m/s2m/s2 in order to pass a truck. What is the velocity of the car after 5.0 ss have elapsed?
If the car maintains its constant acceleration, how much additional time does it take the car to reach a velocity of 35.0 m/sm/s ?
Given data:
- Velocity of car is v0x=15 m/s.
- Acceleration of car a=2 m/s2.
- Time at which velocity is required t=5 s.
- Velocity of car is vx'=35 m/s.
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