8. A boat crossing a wide river moves with a speed of 13.0 km/h relative to the water. The water in the river has a steady speed of 6.00 km/h due north relative to the earth.a) If the boat heads due west, determine the speed of the boat relative to an observer standing on the shore.km/h9. b) What is the angle made between the velocity of the boat relative to the observer and the west direction?°10. c) At what angle against the steam must the boat be headed with respect to the west direction in order for it to proceed west as seen by the observer on the shore?

6. A bullet traveling horizontally at a speed of 395 m/s hits a board perpendicular to the surface, passes through it, and emerges on the other side at a speed of 175 m/s. If the board is 3.30 cm thick, how long does the bullet take to pass through it? 0 ssY 60 s ssf60 ssf6 60 ssf60 s

A search and rescue helicopter travels at constant speed in a horizontal plane. The figure below shows a portion of the path traveled by the helicopter, as viewed looking down from above. The helicopter's path includes three straight portions between points "1" and "2", points "4" and "5", and points "7" and "8", each of which has a length of 4000 m, as shown in the figure. It takes the helicopter 2000 seconds to travel along each of these straight portions of its path. The semi-circular portions of the path (also shown in the figure) have the same radius R=500m. +y YNorth) 8. 4 4000 m A semi-circle is one half of a circle. East 6.

10. The captain of a small plane starts his journey by proceeding east. The speed of the plane with respect to still air is 160 km/h. A sudden north wind starts to blow at a constant speed of 71.0 km/h. What is the speed of the plane relative to the ground if no action is taken by the pilot? km/h f60s ssf60b f60 ssf60 0 ssf60 ss. sf60 ssf60 50 ssf60 s

Geese migrate along north and south directions for well over a thousand kilometers in some cases traveling speeds up to about 100 km/h. If one such bird is flying at 100km/h relative to the air but there is a 34.0 km/h wind blowing from the west to east. A.) at what angle relative to the north-south direction should this bird head so that it will be traveling directly southward relative to the ground? Express answer in degrees  b.) how long will it take the bird to cover a ground distance of 500 km from north to south? ( Note: Even on cloudy nights many birds navigate using the earth's magnetic field to fix the north-south direction)

A fighter plane moving 211.0 m/s horizontally fires a projectile with speed 47 m/s in a forward direction 30.0° below the horizontal. What is the speed of the projectile with respect to a stationary observer on the ground?       a)  240 m/s   b)  283 m/s   c)  253 m/s   d)  278 m/s

A river flows due south with a speed of 2.8 m/s. A man steers a motorboat across the river; his velocity relative to the water is 4.9 m/s due east. The river is 600 mm wide. a-What is the magnitude of his velocity relative to the earth? b-What is the direction of his velocity relative to the earth? c-How much time is required to cross the river? d-How far south of his starting point will he reach the opposite bank?

8. A car is moving north at a speed of 25 m/s. A child in the back seat of the car throws a toy to the passenger in the front seat with a speed of 10 m/s in the direction forward 50° right (relative to the car). a) Draw a vector diagram to illustrate the situation. b) Calculate the speed and direction of the toy relative to the road.

2 M S F2 7. The captain of a small plane starts his journey by proceeding west. The speed of the plane with respect to still air is 170 km/h. A sudden south wind starts to blow at a constant speed of 87.5 km/h. What is the speed of the plane relative to the ground if no action is taken by the pilot? km/h 3 8. 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? 9. 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? E 80 F3 D $ 4 F4 R F % O 5 F5 T G 6 MacBook Air IS Y & 7 H F7 U * 8 J DII FB ( 9 K F10 L P F12

A firework is launched with an initial velocity of 30 m/s at an angle of 65 degrees with respect to the horizontal. The peak height of the firework, just before it explodes. b. The vertical component of the firework’s velocity, just as it reaches the peak of its motion and explodes. c. The horizontal distance traveled by the firework, just as it reaches the peak of its motion and explodes.