Pr1. The speed of a cyclist along the horizontal road is 16 km/h, 12 km/h upward and 24 km/h downward. Once the cyclist went from the village to the town, and it took 3 hours to get to the town and to go back to the village. How far is the city from the village?
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- Calculating Displacement- 1. A woman walking her dog travels 200 m north, then 400 m west, then 500 m south. (a). What was the total distance she travelled? (b) What was the magnitude of her displacement for the entire trip?In downtown Chicago, the east-west blocks are 400 ft long while the north-south blocks are 280 ft long. Because of the many one-way streets, it can be challenging to get around. Veronica starts at the corner of Dearborn and Ohio Streets. She drives four blocks north to Superior, two blocks east to Wabash, then a block south to get to her destination at Wabash and Huron. What is the straight-line distance from her starting point?What distance, in km, does the car travel? What is the magnitude of the car's displacement, in km, from its initial position? What is the speed of the car in m/s?
- An Alaskan rescue plane drops a package of emergency rations to a stranded party of explorers. If the plane is traveling east at 40 m/s and is 100 meters above the ground: a.Using the release point as the origin, find the time it takes for the package to reach the ground once released. b.How far east of the release point does the package strike the ground? Also, What is the speed of the package as it hits the ground? c.With what angle (below the horizontal) does the pack strike the ground? Please show work for all of the parts.Find the following for path A in the Figure, measuring the displacementsfrom the back of the arrow, indicated by a dot, to the arrow's head. Round to the nearest integer. a. The distance traveled in meters. b. The magnitude of the displacement from start to finish in meters.Q3. Suppose a pilot flies 40.0 km in a direction north of east (0A = 60°) and then flies 30.0 km in a direction north of east (OB = 15°) as shown in the figure below. Find her total distance R from the starting point and the direction of the straight-line path to the final position. 15° y 4 B = 30 km B A + B = R N A = 40 km %3D R= ? A R - E W 0 = ? OA = 60°
- A ball is thrown at an initial height of 65 feet at an initial velocity of 75 feet/second at an angle of 65 degrees. Given the parametric equations yY = - - 16t + Vo · Sin(0)t + ho and x = 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 3 seconds? feet. seconds. b. When will the object hit the ground? feet. c. How far horizontally will the ball be when it hits the ground? seconds. d. When will the ball be at its maximum height? e. What is the ball's maximum height? feet. feet f. How far horizontally will the ball be when it reaches its maximum height?An airplane flies horizontally at a speed of 369 km/h and drops a crate that falls to the horizontal ground below. Neglect air resistance. A. If the altitude of the plane was 628 m, then how far, horizontally in meters, did the crate move as it fell to the ground? B. What was the speed of the crate, in m/s, just before it hit the ground?When the motorcyclist is at A, he increases his speed along the vertical circular path at the rate of v = (0.04s) ft/s² where s is in ft. Take p = 270 ft. ▼ Part A V If he starts at V₁ = 2 ft/s where s = 0 at A, determine the magnitude of his velocity when he reaches B. = Express your answer to three significant figures and include the appropriate units. μÅ Value Units Submit Part B = P 0 O μà 60° Submit Also, what is his initial acceleration? Express your answer to three significant figures and include the appropriate units. Value Units Request Answer P Request Answer ? ?
- A group of hikers sets out going 10.0km [N], then 15.0km [E], then 4.0km [S]. The entire trip takes 4.00h. Determine the magnitude hikers' velocity for the trip. 4.04 km/h [N 21.8° E] 5.25 km/h [N 21.8° E] 7.25 km/h [N 21.8° E] 21.0 km/h [N 21.8° E] 65.25 km/h [N 21.8° E]A hot air balloon flying horizontally at a velocity of 50m/s and at an altitude of 475 meters when one if its sandbags falls off. A. How long (in seconds) does it take the sand bags to reach the ground? B. What horizontal distance (in meters) will the bag travel before it strikes the ground?A mountain biker encounters a jump on a race course that sends him into the air at 44.8 degrees to horizontal. He lands at a horizontal distances of 26.7 meters and 13.1 meters below his launch point? What was his launch speed in m/s2