9. A turtle crawls along a straight line, which we will call the x-axis with the positive direction to the right. The equation for the turtle's position as a function of time is r(t) = 50cm+ (2cm/s)t- (0.0625cm/s²)t² (a) Find the turtle's initial velocity, initial position, and initial acceleration. (b) Graph the position - time of the turtle. (c) Calculate average velocity between t = 0 and t = 10s. (d) What is the instantaneous velocity at t = 5s? (e) What is the instantaneous acceleration at t = 5s? (Note: convert cm/s to m/s and cm to m. Conversion is: 100 cm = 1m)
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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