(8%) Problem 8: Starting from rest, your plane taxis to the runway. At a time to = 8.5 min later, the plane is cleared for takeoff from rest and accelerates down the runway with a constant acceleration of a = 2.85 m/s² for a time interval t = 45 s before taking off. Refer to the figure. t= 0 t=t,+t taxi min Otheexpertta.com E V 25% Part (a) Enter an expression for the plane's takeoff speed, v, in terms of given quantities. V; = a (t, ) vCorrect! E V 25% Part (b) Calculate the plane's takeoff speed, in meters per second. = 128.25 = 128.3 V Correct! E V 25% Part (c) Enter an expression, in terms of a and ta, for the minimum length of runway, dmin- this plane requires to reach takeoff speed with the given acceleration and time interval. dmin - 0.5 at? Correct! > * 25% Part (d) Calculate the average acceleration of the plane, in meters per second squared, during the time period from when it begins to taxi until it takes off. Grade Summary aavg = Deductions 0% Potential 100% sin() cos() tan() 8 9 НОМЕ Submissions Attempts remaining: 15 (0% per attempt) detailed view cotan() asin() acos() E 4 6. atan() acotan() sinh() 2 3 cosh() tanh() cotanh() + END 1 0% A 2. 0% O Degrees O Radians vol BACKSPACE CLEAR 0% 4. 0% Submit Hint Feedback I give up! Hints: 2 for a 0% deduction. Hints remaining: 0 Feedback: 0% deduction per feedback. -Use the definition of average acceleration in terms of the initial and final velocities and the elapsed time. Be careful with time units. -Use your result from part (b).
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.
Solution for part (d)
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