Please solve and leave answers unrounded if less than 3 decimal points

1. A rescue plane wants to drop supplies 280 m below. If the plane is travelling at a speed of 60.0 m/s, what is the magnitude of the velocity of the supply when it lands?

_________________m/s

2. At a track and field meet, the best long jump is measured as 8.50 m. The jumper took off at an angle of 33.0 to the horizontal. What was the initial speed of the jumper?

___________m/s

3. A projectile is launched at an angle of 13.0 above the horizontal. What is its initial speed if it hits a target that is located a horizontal distance of 150 m from the launch point and 12.5 m below the launch level?

________________m/s

4. A firefighter located a distance of 24.0 m from a burning building, directs a stream of water at an angle 0 = 19.0 above the horizontal. At what height from the hose nozzle does the water strikes the building if the initial speed of the stream is 34.0 m/s?

_____________m

5. A basketball player is standing on the floor 14.5 m away from the basket. The height of the basket is 3.05 m, and he shoots the ball at 42.0 with the horizontal from a height of 1.90 m. At what speed must the player shoot the ball so that it goes through the hoop without striking the backboard?

_____________m/S

6. A projectile is shot from the edge of a cliff 170 m above ground with an initial speed of 50.0 m/s at an angle of 24

below the horizontal. How much time does it take the projectile to hit the ground?

_____________seconds

7a The captain of a small plane starts his journey by proceeding west. The speed of the plane with respect to still air is 130 km/h. A sudden south wind starts to blow at a constant speed of 67.5 km/h. What is the speed of the plane relative to the ground if no action is taken by the pilot?

__________________km/h

7. b) As seen by people on the ground, what is the angle made between the direction of motion of the plane with repect to the west?

__________________degrees

7. c) At what angle with respect to the west must the pilot head his plane in order for it to proceed west as seen by the people on the ground?

_______________degrees

8.. A soccer ball is kicked with an initial velocity of 19.0 m/s at an angle of 37 degrees above the horizontal. If the ball lands on the same horizontal level, determine the horizontal distance travelled by the ball before it hits the ground.

________________m