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.

In an article on the use of the sling as a weapon, the author states that a skilled slinger can sling a rock a distance of about 384 m. What is the minimum speed the rock must have when it leaves the sling to travel exactly 384 m? To solve this problem it will be necessary to first determine the required launch angle of the projectile. What launch angle must the projectile have in order to find the minimum speed required to achieve a given horizontal distance?

A playground is on the flat roof of a city school, hb = 6.70 m above the street below (see figure). The vertical wall of the building is h = 7.90 m high, to form a 1.2-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.   Question: (a) Find the speed at which the ball was launched.

A playground is on the flat roof of a city school, hb = 6.70 m above the street below (see figure). The vertical wall of the building is h = 7.90 m high, to form a 1.2-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 man on the ground kicking a ball to children on a flat rooftop is shown. The distance between the man and the building is labeled d. The height of the left wall of the building is labeled h. The motion of the ball is depicted as a parabola originating from the man on the ground and ending at the rooftop. The vector of the initial motion of the ball makes an angle ? with the horizontal. (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…

What is the optimum angle at which a projectile should be launched in order to cover the maximum distance?

In your Christmas Party, one of the games is Egg Catching. Suppose You throw the egg at a 45° angle to your friend standing 30.5 m away. Your friend's hand aim to catch your egg at 1.5 m above the ground. At what initial height, and with what initial speed, should you release the egg so that your friend can catch it without moving his/her hands?

A ball is thrown at 40° above the horizontal. The horizontal component of the baseball's initial velocity is 12 m/s. What is the magnitude of the ball's initial velocity

A boy is playing flying fox over a swimming pool as illustrated in the figure. A cable mounted on the top of a tall tower runs down to the ground with an angle = 26° with respect to the horizontal. The boy at the top of the tower grabs a pulley on the cable and slides down from rest. His initial height was ho 15 m above the water. When he reaches hi above the water, he releases his hands from the pulley and falls into the water. The boy is subject to the regular force of gravity (g-9.80665 m/s2). Ignore friction and air resistance. <=10m (a) Determine the speed of the boy at the moment he releases his hands from the pulley. Answer: 9.90 m/s (b) Determine the speed of the boy at the moment he splashes into the water. Answer: 17 (c) At what angle with respect to the horizontal does the boy enter the water? Answer: 57.85 degrees