The following table shows the time T, in seconds, it takes for a rock to fall s feet on a certain planet. Distance s Time T 10 20 30 40 0.59 0.90 1.08 1.24 (a) Find a power model for the data. OT= 0.1750.54 T= 0.2250.58 OT= 0.1550.51 OT= 0.1250.48 OT= 0.2050.56 x 50 (b) How long does it take for a rock to fall 70 feet? (Use the model found in part (a). Round your answer to two decimal places) S (c) How far does a rock fall in 3 seconds? (Use the model found in Dart (a). Round your answer to two decimal places.) ft (d) What effect does doubling the distance fallen have on the time? (Use the model found in part (a). Round your answer to two decimal places) Time is multiplied by
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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