Two projectiles are launched on a planet without an atmosphere (g is NOT 9.8 m/s-). Projectile A is in motion for 6 seconds, while projectile B is in motion for 3 seconds before hitting the ground. The +x direction is horizontal and the +y direction is up. 40 32 B 2. 8. 10 12 x (meters) y (meters)

When adding vectors (3,30°) + (5,120) + (7,225°), what is the magnitude of the resultant? О 3.96 O 2.81 О 5.72 O 6.47 O 4.93

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

b) I(1, 0, 0), J(0, 1, 0), and K(0, 0, 1) 6, A helicopter takes off at a ground velocity of 150 km/h. It climbs at an angle of 48° toward the east. A 17-km/h wind is blowing from the south. Determine the resultant air and ground velocities. Include a diagram in your solution. The Eiffel Tower is 324 m tall. Denise is

Let B = 4.55 m at 60.0°. C and A have equal magnitudes. The direction angle of C is larger than that of A by 25.0°. Let A B = 29.1 m² and BC= 33.9 m². Find the magnitude (in m) and direction (in degrees) of A. magnitude direction m 。

An archer on the roof of a tower shoots an arrow at a bird in flight. The arrow travels at 255 m/s. The bird is directly across from the archer at a distance of 90.0 m. The archer misses. If the tower is 200 m tall and if we assume the cow is at ground level, will his stray arrow hit the cow? (The cow is 145 m away from the tower.)

Would a “combination method” be possible, if you first divided the vectors into components and then added the components graphically? Would that give you the right answer?

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

36. A rifle is used to shoot twice at a target, using identical cartridges. The first time, the rifle is aimed parallel to the ground and directly at the center of the bull's-eye. The bullet strikes the target at a distance of H, below the center, however. The second time, the rifle is similarly aimed, but from twice the distance from the target. This time the bullet strikes the target at a distance of H3 below the center. Find the ratio H„/H,.

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