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. Pr Figure # 3

An arrow is shot from a height of 1.6m toward a cliff of height H. It is shot with a velocity of 27 m/s at an angle of 60 above the horizontal. It lands on the top edge of the cliff 3.8s later. a ) what is the height of the cliff (in m)? b) what is the maximum height (in m) reached by the arrow along its trajectory? c) what is the arrows impact speed in m/s just before hitting the cliff ?

A car is 3.0 km west of a traffic light at t = 0 and 7.0 km east of the light at t = 8.0 min. Assume the origin of the coordinate system is the light and the positive x direction is eastward. (a) what are the car’s position vectors at these two times? (b) what is the car’s displacement between 0 min and 6.0 min?

A golf ball is driven with the initial conditions shown in the figure. If the wind imparts a constant horizontal deceleration of 3.9 ft/sec2, determine the values of r, r˙, r¨, θ, θ˙, and θ¨ when t = 1.18 sec. Take the r-coordinate to be measured from the origin.

Top Golf is a famous and well-known place for sports entertainment and family fun. Typically a building has two to three floors full of rooms for people to rent and relax in while they hit golf balls onto a 250-yard field. Suppose a person hits a golf ball from the second floor (h) with an initial velocity of 118 mph at a 15° angle (0). The golf ball is in the air for (t) secs and lands 170 (x) yards from its initial place. The path of the golf ball is depicted in figure 2. Hint: 1 mile 5280 ft, 1 yard = 3 ft = (i) How long does it take for the golf ball to land on the field in seconds? (t) (ii) At what height was the ball struck at in feet? (h) (iii) What is the maximum height the golf ball reaches in feet? (yax) Figure 2. V₂

In the sport of billiards, event organizers often remove one of the rails on a pool table to allow players to measure the speed of their break shots (the opening shot of a game in which the player strikes a ball with his pool cue). The top of a pool table is a height ℎ=2.75 ft from the floor. If a player's ball lands a distance ?=13.75 ft from the table edge, what is her break shot speed V0? At what speed ?v did her pool ball hit the ground?

For a forensics experiment, a student decides to measure the muzzle velocity of the pellets from his BB gun. She points the gun horizontally. On a vertical wall a distance 47.3 m away from the gun, a target is placed. The shots hit the target a vertical distance 0.10 m below the gun's barrel. What is the initial speed of the pellets? Your Answer: units Answer

You are a jungle scientist. Your boss gives you the following alligator dive diagram. Your boss informs you of some key information. The gator travels at the top of the swamp surface 100m west and then 90.0m in a direction 33.0 degrees to the east of north. Then the gator dives below the swamp surface and travels an additional distance in an unknown direction. The final location of the gator is 60.0 m directly under a float marker which is placed 125m north of the gator's start location. Find what the gator's displacement was during this gator dive. ALIGATOR DIVE DIAGRAM East 30 North 60m 120m

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A ball is thrown downward from the top of the building with a speed of 18.0 m/s at an angle of 30.0° to the horizontal. a) What are the horizontal and vertical components of the velocity the instant the ball is thrown? b) What are the horizontal and vertical components of the velocity 1.00 s after being thrown?