2/63 A partícale which moves in two-dinensional إحراثیاته' - حركه با لبوصة motion has Coordinates given in inches by X = t° -4t+ 20 and y=3 Sinat ,where the timetis in Seconds. Determine the Magnitudes f the Velocity v and the acceleration a and the angle 8 between these two Vectors at time t= 3 Scc
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- Object A is travelling along a circle of radius 2, and Object B is travelling along a circle of radius 5. The object have the same angular speed. Do the objects have the same linear speed? If not, which object has the greater linear speed?י0ד"ת Asiacell lIı. A docs.google.com امتحان فصلي. . . نظرية مكائن . . الاجابة على جميع الاسئلة * Q1: A wheel accelerates uniformly from rest to 2000 r.p.m. in 20 seconds. What is its angular acceleration? How many revolutions does the wheel make in attaining the speed of 2000 r.p.m.? Q2: Figure (1), A link AB of a four-bar linkage ABCD revolves uniformly at 120 r.p.m. in a clockwise direction. Find the angular acceleration of links BC and CD and acceleration of point E in link BC? Given: AB= 7.5 cm, BC = 17.5 cm, EC = 5 cm, CD = 15 cm, DA = 10 cm and the angle BAD= 90°. 5 cm -17.5 cm Va 15 cm 7.5 cm 90° 10 cm Figure (1) Q3: Find the number of degree of freedom (n) for figure (2)? Link 3 Link 4 Link 5 Link 2 A Link 1 Figure (2) ث إضافة ملفAn eagle is flying horizontally at a speed of 2.20 m/s when the fish in her talons wiggles loose and falls into the lake 4.10 m below. Calculate the velocity (in m/s) of the fish relative to the water when it hits the water. (Assume that the eagle is flying in the +x-direction and that the +y-direction is up.) magnitude m/s direction ° counterclockwise from the +x-axis
- - MADELINE,BURST - Outloc X + /512235/variants/512235/take/13/ SKETCHPAD Question 13 A plane takes off from an airport at an angle of 14.5°. If the plane is traveling at a velocity of 220 feet per second, how high off of the ground is the plane at 10 seconds? THIN BLACK + O O O O O O O O O O O O O O 2 of 18 Total Questions Answered 35/take/13/ 16 All Changes Saved B KA < < - ☐ * * Continue M X ... 11:51 AM 18 6/6/2022A computer Simulator of the flight of a baseball provided the data displayed in the accompanying table for the range f (v, w) in feet of a ball hit with initial speed in ft/s and a back spin rate w rpm. Each ball is struck at an angle of 30° above the horizontal. Use the data and forward difference to estimate af Əv -(150,3000) and -(150,3000) 150-v in f/s 294 160 314 170 335 180 355 11 11 af Əv |0w= in RPM (150,3000) = af Əw -(150,3000) = 1000 312 334 356 376 11 Əf δω 2000 333 354 375 397 3000 350 373 395 417 4000 367 391 414 436Find the linear speed v for a point on the edge of a gyroscope of radius 83 cm, rotating 680 times per min
- A projectile is given an initial velocity of 31.5 m/s at an angle of 51.5 degrees with respect to the horizontal. How far has it moved in the x-direction at the time when its speed in the y-direction is 10.5 m/s? A projectile is launched with an initial velocity of 27.2 m/s at 64.7 degrees with respect to the horizontal. What is the speed of the projectile 1.83 s after being launched. Assume the speed is measured in m/s. A projectile is launched with an initial velocity of 46.8 m/s at an angle of 31.2 degrees with respect to the horizontal. In meters, what is the maximum upward displacement of the projectile?اذا كانع dxEvaluate / dx x(x2-4) 2 Select one: 3 2 'a(금 + arcsec)+ c а. - 64 22 O b. 32 + arcsec÷) +c c. + arcsec) +c O d. 32 ( + arcsec) + c -4 1 2 The correct answer is: - (G + arcsec5)+c 2. 64
- 6. An airplane, flying at 450 km/hr at a constant altitude of 5 km, is approaching a cameramounted on the ground. Let θ be the angle of elevation above the ground at which the camerais pointed. When θ=π~3, how fast does the camera have to rotate in order to keep the planein view?9. A woman standing on a cliff is watching a motor boat as the boat approaches the shoreline directly below her. If the woman's eyes are 250 feet above the water level and if the boat is approaching at 30 feet per second, how fast is the angle of depression of the boat from the woman's eyes changing when the boat is 250 feet from the shore? 10 . uerA windmill spins at a rate of 15 rpm (Revolutions per minute). Its arms are 3 m long and its center sits 12 m above the ground. A caterpillar clinging to the edge of an arm will experience periodic motion. Let ‘h’ represent the height of the caterpillar from the ground. Determine the angular velocity of the caterpillar in rads/sec. Using methods taught in grade 12 advanced functions