A boat sails from the pier at Fisherman's Wharf in San Francisco at 3.40 m/s, directly toward Alcatraz. A kite rider heads directly away from Alcatraz toward the boat at a relative speed of 6.40 m/s, according to the skipper of the sailboat. 1) Calculate the velocity of the kite rider relative to the pier. Use a coordinate system where positive x direction is along the motion toward the island. (Express your answer to three significant figures.)
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- You have exactly 3 minutes 34 seconds to get to your next class on time and that classroom is 448 m east of where you are right now. First you run to your dorm room at an average velocity of 5.73 m/s to the south to pick up your calculator and your dorm room is 174 m south of where you were initially. What average velocity (magnitude only) do you now need to run from your dorm room to your classroom to arrive exactly on time? 2.62 m/s 2.91 m/s 2.25 m/s 5.73 m/sA plane is headed due west with an air speed of 207 m/s. The wind blows south at 20.0 m/s. Find the velocity of the plane relative to the earth.To solve this problem it will be necessary to determine the plane's velocity relative to the the air. What is the plane's east-west velocity relative to the air? (Define the positive direction to be east.)Additionally, to solve this problem it will be necessary to determine the air's velocity relative to the earth. What is the air's north-south velocity relative to the earth? (Define the positive direction to be north.)You have exactly 5 minutes 25 seconds to get to your next class on time and that classroom is 408 m east of where you are right now. First you run to your dorm room at an average velocity of 4.48 m/s to the south to pick up your calculator and your dorm room is 470 m south of where you were initially. What average velocity (magnitude only) do you now need to run from your dorm room to your classroom to arrive exactly on time? 1.92 m/s 4.48 m/s 2.83 m/s 2.70 m/s
- A plane releases a package from an altitude of 300 meters. At the time of release, both the plane and package are moving at 100 meters per second, directed at an angle of 20 degrees below the horizontal. How long is the package in the air? Find the magnitude and direction of the velocity of the package just before impact? Draw a sketch or diagram of the problem. Thank you for your help.Water in a river flows with a component downstream (x-direction) of 6 m/s and a component across the stream (y-direction) of 4 m/s. A boat is attempting to cross the river. The velocity of the boat relative to the water is 20 m/s at an angle of 70 degrees with respect to the x-axis. Determine the velocity of the boat relative to the shore.A glider aircraft initially traveling due west at 86.0 km/h encounters a sudden gust of wind at 40.0 km/h directed toward the northeast (see the figure below). What are the speed and direction of the glider relative to the ground during the wind gust? (The velocity of the glider with respect to the ground is the velocity of the gilder with respect to the wind plus the velocity of the wind with respect to the ground.)
- A car is moving on Street Road in a fixed direction at a constant speed of V = 31 km/h with respect to the road. You wish to state the comedic factors of the motion of the car by using a Cartesian coordinate system who’s positive X axis is pointed in the direction of the motion of the car in the origin is fixed at some point on the road. (A) what is the expression for the velocity of the car, using the speed V and the unit vectors I, J, and K? (B) what is the X component of the position vector, and units of kilometers, at time t= 0.045 hr? Johnny comes across a river that is 252 meters wide. He sees that the water flows eastward with a uniform velocity of 1.10m/s. Johnny sees his friend Sarah start her boat at point A on the south bank and start to cross the river to point B which is on the other side. Suppose the trip takes 3 minutes. Figure out the velocity of sarah's boat with respect to a) Johnny who is stationary on the ground b) A floating goose that's moving with the water. N B W-E S Vriver = 1.1 m/s A 252 mQuestion 4-a. Numerical: A river flows east at 3.0 m/s. A boat travels between two cities 3000-m apart by maintaining a constant velocity of 15 m/s relative to the water downstream the river. What is the ground speed of the boat measured in m/s?
- Two students are on a balcony 18.6 m above the street. One student throws a ball (ball 1) vertically downward at 13.1 m/s; at the same instant, the other student throws a ball (ball 2) vertically upward at the same speed. The second ball just misses the balcony on the way down. (a) What is the difference in the two ball's time in the air? (b) What is the velocity of each ball as it strikes the ground?A bug flies east at 2.5 m/s. A light breeze blows on the bug with a velocity of 2.5 m/s due east. What is the resultant velocity of the bug? O 5 m/s, east O 5 m/s, west O 2.5 m/s, east O 0 m/sA flat-bed truck travels East on a highway at 80.0km/h. As the truck is moving, a cyclist is inside, pedaling at 4.5m/s [East] relative to the truck. The cyclist throws a banana peel backwards over his shoulder at 5.50m/s relative to himself. Determine the velocity of the banana peel relative to the highway. ty