Review You are riding on a Jet Ski at an angle of 35° upstream on a river flowing with a speed of 2.8 m/s. Part A If your velocity relative to the ground is 9.5 m/s at an angle of 20.0° upstream, what is the speed of the Jet Ski relative to the water? (Note: Angles are measured relative to the z axis shown in (Figure 1).) Express your answer in meters per second to three significant figures. m/s Submit Request Answer Provide Feedback Next > Figure < 1 of 1 > b 95 m/s ing =28 m's
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- between points in a plane do not change when a coordinate system is rotated In other words, the magnitude of a vector Is invariant under rotations of the coordinate system. Suppose a coordinate system S is rotated about its origin by angle to become a new coordinate system S’, as shown in the following figure. A point in a plane has coordinates (x,y)in S and coordinates (x,y) in S’. (a) Show that, during the transformation of rotation, the coordinates in S are expressed in terms of the coordinates in S by the following relations: {x=xcos+ysiny=xsin+ycos (b) Show that the distance of point Pto the origin is invariant under rotations of the coordinate system. Here, you have to show that x2+y2=x2+y2. (c) Show that the distance between points Pand Q is invariant under rotations of the coordinate system. Here, you have to show that ( xP =xQ )2+( yP yQ )2=( xP =xQ )2+( yP yQ )2 .Starting at the island of Moi in an unknown archipelago, a fishing boat makes a round trip with two stops at the islands of Noi and Poi. It sails from Moi for 4.76 nautical miles (nmi) in a direction 37 north of east to Noi. From Noi, it sails 69 west of north to Poi. On its return leg from Poi, it sails 28 east of south. What distance does the boat sail between Noi and Poi? What distance does it sail between Moi and Poi? Express your answer both in nautical miles and in kilometei. Note: 1 nmi = 1852m.If the velocity vector of a polar bear is u=(-18.0 i -13.0 j)km/h , how fast and in what geographic direction Is it heading? Here, and are directions to geographic east and north, respectively.
- Formulas: O Speed = distance / time a Velocify = displacement / time plus a given direction %3D 6. What is the velocity of a rocket that goes 700 kilometers north in 25 seconds? d= 700 km +=25 seconds V=? VE dxt V= 7. How much fime does it fake a person to walk 8 kilometers east at a Velocity of 4 kilometers per hour? 8. A motorcycle travels 300 miles south in 3 hour. Ala at is the đverade velocity?A ball is thrown at an initial height of 100 feet at an initial velocity of 80 feet/second at an angle of 45 degrees. Given the parametric equations y = 16t + Vo sin(0) · t + ho and r Vo cos(0)t. - When doing calculations, carry 5 digits of accuracy, so your round off does not build up. a. What is the ball's height in 1 seconds? feet. b. When will the object hit the ground? seconds. c. How far horizontally will the ball be when it hits the ground? feet. d. When will the ball be at its maximum height? seconds. e. What is the ball's maximum height? feet. feet f. How far horizontally will the ball be when it reaches its maximum height?A jet is flying through a wind that is blowing with a speed of 60 mi/h in the direction N 30°E (see the figure). The jet has a speed of 750 mi/h relative to the air, and the pilot heads the jet in the direction N 30° W? A) Find the true speed of the jet. (Round your answer to the nearest integer.) – Find the direction of the jet. (Round your answer to one decimal place.) N_° W _mi/h B) 30° 30f
- Can someone please help with the following questions? I've attached the pictures below. I appreciate it! For the problem that asks about the meaning of of p0, I already have the answer for that, I just need help with part b.Johnson drove east for 3 seconds with a rate of 5 meters per second. He then took a quick turn to 50o West of North with the same speed. After 2 seconds in the same direction, he started accelarating with a rate of 2 m/s2 for about a second before hitting Gusion. Find Johnson's displacement in meters.A cannonball is fired with a velocity of 252 kmph at an angle of 60 degrees. The cannonball lands in a valley 150 metres below its starting level. What is the range of the cannonball? Make a simple sketch. Make a list of all given values, units, and the variables they represent. write the general form of the equation you are going to use. Insert the known values and solve. State at the start of the problem which direction is positive by using an up or down arrow. Keep the velocity components and time to 2 decimal places.
- An airplane trip involves three legs with two stopovers. The first leg is due west for 310 km; thesecond leg is 45 north of west for 220 km; and the third leg is at 53 north of east, for 275 km. Drawthe diagram of the airplane’s trip in a coordinate system. What is the plane’s total displacement. Can you show me the graph thank youA sinx is the mathematical model for the hypothesis given for the time of flight of a projectile as a function of angle. A: the fit parameter A...A = 2V0 B: the fit parameter B...B = B was not used in the model make a plot of the time of flight for a projectile as a function of launching angle, with v0 = 3.92 m/s...which graph most matchPart AGiven the vectorsA⃗ and B⃗shown in the figure ((Figure 1)), determine the magnitude ofB⃗−A⃗.Express your answer using three significant figures. Part BDetermine the direction of B⃗−A⃗.Express your answer using two significant figures. Part CDetermine A⃗ − B⃗ without using your answer in parts A and B. Then compare your results and see if they are opposite. Determine the magnitude of A⃗−B⃗.Express your answer using three significant figures. Part D Determine the direction of A⃗ −B⃗ A→−B→. Express your answer using two significant figures.