One afternoon, a student was going home after attending a calculus class. For this reason, the student orders an online motorcycle taxi through the application. At the time of ordering, the online motorcycle taxi is in the position s = 2t² + 2t+4, where t is in units of time and s is in meters. a. Determine the average speed of the online motorcycle taxi at intervals of 3 minutes to 5 minutes. b. Determine the time when the instantaneous speed of the online motorcycle taxi is exactly the same as the average speed.
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.
One afternoon, a student was going home after attending a calculus class. For this reason, the student orders an online motorcycle taxi through the application. At the time of ordering, the online motorcycle taxi is in the position s = 2t² + 2t+4, where t is in units of time and s is in meters.
a. Determine the average speed of the online motorcycle taxi at intervals of 3 minutes to 5 minutes.
b. Determine the time when the instantaneous speed of the online motorcycle taxi is exactly the same as the average speed.
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