For safety reasons, some of the fastest dragsters, called top-fuel dragsters, do not race for more than 300 to 400 meters. Consider such a dragster that, when the light turns green, accelerates uniformly from rest and completes a 357 meter race in a time of 9.56 seconds. Part A: During this period, what is the dragsters acceleration expressed as a multiple of the acceleration due to gravity, g? Part B: If the dragster could continue with this average acceleration, what would its speed be, in miles per hour, after it has traveled a total distance of 1.6km, which is approximately one mile?
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.
For safety reasons, some of the fastest dragsters, called top-fuel dragsters, do not race for more than 300 to 400 meters. Consider such a dragster that, when the light turns green, accelerates uniformly from rest and completes a 357 meter race in a time of 9.56 seconds.
Part A: During this period, what is the dragsters acceleration expressed as a multiple of the acceleration due to gravity, g?
Part B: If the dragster could continue with this average acceleration, what would its speed be, in miles per hour, after it has traveled a total distance of 1.6km, which is approximately one mile?
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