Kara is setting up a tee-shirt cannon for a community event. The angle of the cannon can be adjusted, but all projectiles leave the cannon at 25 meters per second. If Kara sets the angle of 20 degrees above the cannon to be above horizontal, what will be the range of the projectiles?

Dennis, a senior in high school, is preparing for the greatest food fight prank of all time. He plans to launch watermelons from his homemade melon cannon machine towards the enemy food fighters standing on the rooftop lunch area. The enemies are 10 meters from the edge of the 7-meter-high balcony. Dennis plans to hide in some bushes away from the building to fire his cannon. The cannon fires at 22.0 m/s & must be angled 40° above ground to clear the bushes. a. How far from the base of the building should Dennis place the cannon? b. The teachers' lounge window is 14 above the ground. Will they be able to see the watermelons pass by their window (assume they are looking horizontally? 40° d= ? 10 m

A rescue plane flies at 198km/hr and at a constant elevation of 500m toward a point directly over an accident victim struggling in the sea. The pilot must release a rescue capsule so that it hits the water very close to the victim.a). what should be the angle of the pilot’s line of sight when the capsule is released? EVb) what is the velocity of the rescue in the vertical plane when the capsule is released? APc). as the capsule reaches the water, what is its velocity ?̅in i. the unit vector notation? ANii. magnitude- angle notation

A student throws a water balloon with speed v0 from a height h = 1.74 m at an angle θ = 27° above the horizontal toward a target on the ground. The target is located a horizontal distance d = 5.5 m from the student’s feet. Assume that the balloon moves without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position. What is the position vector, Rtarget, that originates from the balloon's original position and terminates at the target? Put this in terms of h and d, and represent it as a vector using i and j.

One strategy in a snowball fight is to throw a snowball at a high angle over level ground. Then while your opponent is watching that snowball, you throw a second one at a low angle timed to arrive before or at the same time as the first one. Assume that both snowballs are thrown with a speed of 30.0 m/s. The first is thrown at an angle of 65.0° with respect to the horizontal. (a) At what angle should the second snowball be thrown to arrive at the same point as the first? _____° (b) How many seconds later should the second snowball be thrown after the first in order for both to arrive at the same time?

A playground is on the flat roof of a city school, hb = 6.40 m above the street below (see figure). The vertical wall of the building is h = 7.70 m high, to form a 1.3-m-high railing around the playground. A ball has fallen to the street below, and a passerby returns it by launching it at an angle of ? = 53.0° above the horizontal at a point d = 24.0 m from the base of the building wall. The ball takes 2.20 s to reach a point vertically above the wall.   (a) Find the speed at which the ball was launched. m/s = (b) Find the vertical distance by which the ball clears the wall. m =(c) Find the horizontal distance from the wall to the point on the roof where the ball lands. m =

A person is at a festivity and is trying to win a stuffed animal in one of the games! The game consists of hitting a coin on a plate at an unknown height and which is at a horizontal distance of 2.1 m. (see figure # 3) The person throws the coin with an initial speed of 6.4 m/s, at an angle of 60° and wins the stuffed animal. Determine: a) The height / at which the plate is located. b) The speed of the coin just before it hits the plate. Figure # 3

A student throws a water balloon at an initial angle θ = 23° above the horizontal with an initial speed v0 from a height h = 1.52 m. The target is located on the ground at a horizontal distance d = 7.5 m from the student’s feet. Assume that the balloon moves without air resistance. Use a Cartesian coordinate system with the origin at the balloon's initial position. What is the position vector, Rtarget, that originates from the balloon's original position and terminates at the target? Put this in terms of h and d, and represent it as a vector using i and j.

Kara is setting up a tee-shirt cannon for a community event. The angle of the cannon can be adjusted, but all projectiles leave the cannon at 25 meters per second. If Kara sets the angle of the cannon to be 20.o above horizontal, what will be the range of the projectiles?   64 m   61 m   41 m   25 m