The table shows speedometer readings at 10-second intervals during a 1-minute period car racing at the Daytona International Speedway in Florida. Time (s) Velocity (mi/h) 181.9 10 167.0 20 107.6 30 99.8 40 125.5 50 175.1 60 176.6 (a) Estimate the distance (in mi) the race car traveled during this time period using the velocities at the beginning of the time intervals. (Round your answer to three decimal places.) mi (b) Give another estimate (in mi) using the velocities at the end of the time periods. (Round your answer to three decimal places.) mi (c) Are your estimates in parts (a) and (b) upper and lower estimates? Explain. The velocity is increasing on the given interval, so the estimate in part (a) is an upper estimate and the estimate in part (b) is a lower estimate. O The velocity is neither increasing nor decreasing on the given interval, so the estimates in parts (a) and (b) are neither upper nor lower estimates. O The velocity is decreasing on the given interval, so the estimate in part (a) is a lower estimate and the estimate in part (b) is an upper estimate. O The velocity is decreasing on the given interval, so the estimate in part (a) is an upper estimate and the estimate in part (b) is a lower estimate. O The velocity is increasing on the given interval, so the estimate in part (a) is a lower estimate and the estimate in part (b) is an upper estimate.
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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