A pilot is required to fly directly from London, UK, to Rome, Italy in 4.5h. The displacement is 1.7 x 103km [S15o E] A wind is blowing from the west with a velocity of 75 km/hr. Determine the required velocity of the plane relative to the air.

9. A fireworks shell is launched in a level field at an angle of 70 degrees with an initial speed of 100 m/s. a. If the shell behaves as a projectile, determine its horizontal range (x displacement). [Get components and determine Ax.]

Problem 1.A boat traveling east covers a distance of 40.0 m in 20.0 s. It encounters a current moving at a speed of 2.50 m/s traveling north. Find the resultant velocity of the boat. 2.A riverboat travels with a velocity of 4.60 m/s from one shore to another. The velocity of the river is 2.30 m/s. If the width of the river is 72.0 m, how far does the boat travel downstream to reach the other shore? 3. A bus travels from west to east with a velocity of 11.5 m/s. A marble rolls on the surface of the bus floor with a velocity of 0.200 m/s north. What is the velocity of the marble relative to the road? 4. A human cannonball is launched from a cannon at 20 m/s at 45° above the horizontal. What is the maximum height of the human cannonball? 5. A human cannonball is launched from a cannon at 20 m/s at 45° above the horizontal. What is the range of the human cannonball? 6. A football is kicked from a tee at 12 m/s at 72° above the horizontal. What is the flight time of the football? 7. An…

A pilot is in his plane with the intention of flying to Nunavut. From the current location, Nunavut is [N 9.0W]. The flight tracker estimates the distance from Toronto to Nunavut is approximate 3.0x103km. The plane hasthe capability to fly at an airspeed of 890 km/hr. The pilot aims the plane at a heading [N], and lands in Nunavutdirectly. If the flight takes 3.33 hrs to complete: a. What is the velocity of the plane relative to the Earth? b. What was the wind velocity present on that day?

The figure depicts the sum of two velocities, vA and vB. The magnitude of the sum is 5.5 m/s and the angles shown in the image are θ1 = 26.3°, and θ2 = 16.1°. 1. Find the magnitude of velocity vA in meters per second.  2. Find the magnitude of velocity vB in meters per second.

A daredevil is shot out of a cannon at 45.0° to the horizontal with an initial speed of 28.5 m/s. A net is positioned a horizontal distance of 52.5 m from the cannon. At what height above the cannon should the net be placed in order to catch the daredevil? m

A 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.)

A football is kicked from ground level with an initial velocity of 23.6 m/s at angle of 53.0° above the horizontal. How long, in seconds, is the football in the air before it hits the ground? Ignore air resistance. S

2. An airplane flying N30° W at 150 km/h encounters a wind blowing E5 N at 40 km/h. Determine the resultant ground velocity of the plane. Include a vector diagram in your solution.

1. An ant travels 2.78 cm [W] and then turns and travels 6.25 cm [S 40° E]. What is the ant's total displacement? ™T [ans: 4.94 cm [E 76° S]]