A rocket sled having an initial speed of 150 mi/hr is slowed by a channel of water. Assume that during the braking process, the acceleration a is given by a(v)=-mu v2 , where v is the velocity and mu is a constant. If it requires a distance of 2000 ft to slow the sled to 15 mi/hr, determine the value of mu?
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 rocket sled having an initial speed of 150 mi/hr is slowed by a channel of water. Assume that during the braking process, the acceleration a is given by a(v)=-mu v2 , where v is the velocity and mu is a constant.
If it requires a distance of 2000 ft to slow the sled to 15 mi/hr, determine the value of mu?
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