(8%) Problem 11: A runner is initially at rest at the starting line of a 100 m race. When he hears the starting gun, he accelerates at a constant rate of a; = 0.55 m/s², which he maintains until he crosses the finish line at time t = t₁. It then takes him an additional 7.5 s to come to a complete stop at time t = 12. Use the given coordinate system where x is positive to the right. Refer to the figure. V0 = 0 V₂ = 0 i n t = 0 VI t = t₁ t = t₂ Ⓒtheexpertta.com A 33% Part (a) Enter an expression for the time, t₁1, that it takes for the runner to cross the finish line in terms of d and ai. A 33% Part (b) Enter an expression for the runner's speed, v₁, when he crosses the finish line in terms of a; and t₁ only. ▷ A 33% Part (c) Calculate the runner's constant acceleration, in meters per second squared, after he crosses the finish line until he comes to rest. af = m/s² Grade Summary Deductions Potential 0% 100%
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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