b. Find an expression for the particle's velocity ỷ as a functionof time.c. What is the particle's speed at t= 0, 2, and 5 s?24. I| a.What is the angle o between vectors E and F in FIGURE P3.24?b. Use geometry and trigonometry to determine the magnitudeand direction of G = È + F.c. Use components to determine the magnitude and direction ofĜ = È + F.ib 24stemsỉ – 4B.2.ectors A, B, and F.ctor F?magnitude of-1ertical). Find therdinate systemsFIGURE P3.24

Answered: Image /qna-images/answer/618fe06e-134c-4356-ae2c-7e89fc2a8a4d.jpg

Answered: b. Find an expression for the…

Physics for Scientists and Engineers: Foundations and Connections

1st Edition

ISBN:9781133939146

Author:Katz, Debora M.

Publisher:Katz, Debora M.

Chapter3: Vectors

Section: Chapter Questions

Problem 70PQ

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A train leaving Albuquerque travels 293 miles, due east, to Amarillo. The train spends a couple of days at the station in Amarillo and then heads back west 107 miles where it stops in Tucumcari. Suppose the positive x direction points to the east and Albuquerque is at the origin of this axis. a. What is the total distance traveled by the train from Albuquerque to Tucumcari? b. What is the displacement of the train for the entire journey? Give both answers in appropriate SI units.
(a) If AF=BF , can we conclude A=B ? (b) If AF=BF , can we conclude A=B ? (c) If FA=BF , can we conclude A=B ? Why or why not?
Clay Matthews, a linebacker for the Green Bay Packers, can reach a speed of 10.0 m/s. At the start of a play, Matthews runs downfield at 45 with respect to the 50-yard line and covers 8.0 m in 1 s. He then fins straight down the field at 90 with respect to the 50-yard line for 12 m, with an elapsed time of 1.2 s. (a) What is Matthews’ final displacement from the start of the play? (b) What is his average velocity?
Two birds begin next to each other and then fly through the air at the same elevation above level ground at 22.5 m/s. One flies northeast, and the other flies northwest. After flying for 10.5 s, what is the distance between them? Ignore the curvature of the Earth.
While strolling downtown on a Saturday Afternoon, you stumble across an old car show. As you are walking along an alley toward a main street, you glimpse a particularly stylish Alpha Romeo pass by. Tall buildings on either side of the alley obscure your view, so you see the car only as it passes between the buildings. Thinking back to your physics class, you realize that you can calculate the cars acceleration. You estimate the width of the alleyway between the two buildings to be 4 m. The car was in view for 0.5 s. You also heard the engine rev when the car started from a red light, so you know the Alpha Romeo started from rest 2 s before you first saw it. Find the magnitude of its acceleration.
MIT’s robot cheetah can jump over obstacles 46 cm high and has speed of 12.0 km/h. (a) If the robot launches itself at an angle of 60 at this speed, what is its maximum height? (b) What would the launch angle have to be to reach a height of 46 cm?
The same vectors that are shown in Figure P3.6 are shown in Figure P3.42. The magnitudes are F1 = 1.90f, F2 = f, and F3 = 1.4f, where f is a constant. a. Use the coordinate system shown in Figure P3.42 to find R=F1+F2+F3 in component form in terms of f. b. If Rx = 0.33, what is Ry? c. Check your result by comparing your answer to that of Problem 6. FIGURE P3.42
1.C. a. Suppose you were doing a problem in not two, but three dimensions. Write all 4 kinematic equations for the z axis (i.e., with the appropriate z subscripts) b. A ball is executing projectile motion and has initial position vector ro, initial velocity vector o, and constant acceleration à graphed below. Its height is 20m, speed is 4m/s inclined at 39⁰ and the acceleration is due to Earth's gravity. Compute the numerical values of the 6 quantities Xo, Yo, Vxo, Vyo, ax, ay y 20m O 18 39⁰ vo 8
The problem relates to the gliding flight of flying squirrels. These squirrels glide from tree to tree at a constant speed, moving in a straight line tipped below the vertical and steadily losing altitude as they move forward. Short and long glides have different profiles. A squirrel in a typical long glide covers a horizontal distance of 16 m while losing 8.0 m of elevation. During this glide,a. What is the angle of the squirrel’s path below the horizontal?b. What is the total distance covered by the squirrel?
a. What is the x and y component of F1? b. What is the x and y component of F2? c. Find the magnitude and direction, relative to the positive x axis, of the resultant F = F1 + F2.
While vacationing in the mountains you do some hiking. In the morning, your displacement is S morning =(2000 m, east) +(3000 m, north) + (200 m, vertical). After lunch, your displacement is S afternoon = (1500 m,west) + (2000 m, north) - (300 m, vertical). a. At the end of the hike, how much higher or lower are youcompared to your starting point? b. What is the magnitude of your net displacement for the day?
If a dog is running at 4.4074 m/s and jumps a hurdle at 26 degrees with a total distance of 1.524 m. a. what is the time it takes to make the jump. b. what is the dogs magnitude and and direction of the dog velocity.

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