Problem 6: A student standing on a cliff that is a vertical height d = 8.0 m above the level ground throws a stone with velocity vo = 22 m/s at an angle 0 = 29 ° below horizontal. The stone moves without air resistance; use a Cartesian coordinate system with the origin at the stone's initial position. X V d.

A hockey puck slides off the edge of a table with an initial velocity of 23.6 m/s and experiences no air resistance. The height of the tabletop above the ground is 2.00 m. What is the angle below the horizontal of the velocity of the puck just before it hits the ground? A) 72.6° B) 31.8° C 14.9° (D) 77.2° E 22.8°

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

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If the stone had been thrown front the cliff too with the same initial speed and the same angle, but above the horizontal, would it’s impact velocity be different?

A person standing 20.0 meters away from a  wall throws a stone from the ground level  at an angle of 60.0°above the horizontal with an initial speed of 25.0 m/s. The time it takes the stone to reach the wall and the   height at which the stone strikes the wall are: a.) t = 1.4 s,  y = 18.6 m b.) t=2.6s, y=11.5m c.) t = 1.6 s,  y = 22.1 m d.) t=6.8s, y=34.2m

A cart is moving with a constant horizontal velocity of 5.00 m/s. A small pebble is launched from the front of the cart with a velocity of 8.00 m/s at 60.0° above the horizontal as measured relative to the cart (see figure) and experiences no significant air resistance. Cart 60° 8.00 m/s -5.00 m/s Just as the pebble returns to the level from which it was launched, what is its distance from the front of the cart? How far did the pebble travel from its launch point relative to the ground.

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 throws the ball with an initial velocity V0 = 90 km / hr at an angle α with the horizontal. If the ball goes through B, Determine a) the angle α and b) the angle θ that the vector VB makes with the horizontal.

P In the movie Avengers, Hawkeye fires an arrow with a cable attached to a building after jumping from it to avoid an explosion. If he fires the arrow 5 m away and 8 m below the top of the building, with a velocity of 100 m/s and a slope of 12:5, determine the horizontal distance the arrow will travel from his initial point of firing to the point where it hits the top of the building. Prove using equations of projectile motion that the arrow will not hit the top corner of the building Please provide diagrams too, thank you