Concept explainers
An airplane uses a parachute and other means of braking as it slows down on the runway after landing. Its acceleration is given by
Consider an airplane with a velocity of 300 km/h that opens its parachute and starts decelerating at t = 0 s.
(a) By solving the differential equation, determine and plot the velocity as a
(b) Use numerical
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EBK MATLAB: AN INTRODUCTION WITH APPLIC
- Find the state space model of the rotational mechanical system shown in the figure, where 01(t) is the output and T(t) is the input. T(t) 0\(1) 50 kg-m² N = 30 N2 = 100000 100 kg-m² N; number of cogs 100 N-m/rad 100 N-m-s/radarrow_forwardDetermine the maximum constant speed an automobile can have if its acceleration cannot exceed 8.5 m/s² while rounding a track having a radius of curvature of 250 m. 38.70 m/s O 46.10 m/s O 61.04 m/s O 83.07 m/sarrow_forwardOne of Machete’s favorite activities is to play with his Pokémonmatchbox cars. The attached graph gives the velocity as a function oftime for one of Machete's favorite cars as he plays with it on a straightpiece of track. See if you can determine the following(assume x(t = 0) = 0m): a) The average acceleration of the car for the entire trip.b) Graph the acceleration vs. time associated with the velocity vs. time profile given (makesure to label the vertical axis for some key points). Make sure that your graph is clearc) At what time has the car achieved its greatest distance from the starting position?Describe in a sentence or two what the matchbox car is doing physically fromt = 0 up to the time you attribute to this position.d) At what position is the car at the time instant you described in part c)?e) What is the average speed for the entire trip shown?arrow_forward
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- Let's say we imagine a motor. It seems that motor is a normal and relatively popular and very common. Let us say that this motor in particular has a shaft. This shaft that the motor is composed of is then turning at an anguler speed at the time when t is equal to 0. a = A + Bt after the times t= 0, we have In this case, A & B contain apprOpriate units. (rad/s) α (rad/s^2) :) WE NEED TO GET: a. We need to figure out what would be the angulor speed of this shaft that we are talking about at any t at all. b. We need to figure out what would be the alteration in angulor position of this shaft we are talking about that is relative to its t value for any t at all. c. let us imagine if the shaft that we are talking about has a radius (r of course), we need to figure out what will be the distances will a point on the edge of the shaft have traveler from t=0 to t. SORRY ENGLISH ISNT MY LANGUAGE! THANK YOU :)arrow_forwardDetermine velocity at A, B and C, of an object moving as in the figure ? Q1 +1200 A C +800 +400 200 400 600 800 1000 1200 1400 1600 1800 Time r (s) Position x (m)arrow_forwardA car traveling along a straight road increases its speed from 30.0 m/s to 50.0 m/s in a distance of 360 m. If the acceleration is constant, how much time elapses (s) while the ca this distance? 1. 06 2. 07 3. 08 4. 09 5. o10arrow_forward
- 5- If the acceleration of a particle is a = 4 t ( m/s?) when v = 0 at t =0. What is the velocity at t = 2 s? a) 12 m/ s b) 36 m/s c) 41 m/ s d) 59 m/ s e) 16 m/s f) None of themarrow_forwardConsider a simple pendulum (mass m, length l) whose point of support is forced by some external mechanism to jiggle up and down according to x, = R sin wt. Write down the Lagrangian and find the equation of motion for the angle o. [Hint: Be careful writing down the kinetic energy T. A safe way to get the velocity right is to write down the position of the bob at time t, and then differentiate.] Check that your answer makes sense in the special case w = 0.arrow_forwardThe position of a particle is given by s=2t^3-40t^2+200t-50 , where s is in meters and t is in seconds. Determine the position, velocity v , and acceleration a when t=2 sec. *arrow_forward
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