Jonah is reading a novel that describes an athlete participating in an archery competition. The athlete is 186 cm tall and hits an amazing shot where they fire the arrow completely horizontally and it lands 51 m away from them. 1) neglecting air resistance and drag, what must the initial speed of the arrow be? 2) if the arrow was instead fired at an angle of 45°, how far would it have travelled if it was launched at 187m/s?

a boy throws a ball upward into a improvised basketball ring at an angle of 60degrees from the horizontal and leaves the boys hand at the height of 1.22 m from the ground. the ring is 3.2 m high and 5.0m horizontally away from the point where the boy was standing. what should be the initial velocity of the ball when it leaves the boys hands so it will go into the basket?

In a football game, a player wants to kick the ball as far as possible, but also make sure that it stays in the air as long as possible, so that there is enough time for other players to run down the field and tackle the receiver. If the football is supposed to travel a distance of 49.8 m and stay in the air for 4.41 s, what initial angle and speed does the player have to provide? You can assume that the initial and final vertical coordinate are zero. Hint: Start from the range equation that you derived in class.

Our pinoy pride, Kai Sotto, is now training for his upcoming 3x3 basketball tournament next year. Under International Basketball Federation (FIBA) rules, the three-point line is 6.75 meters from the center of the basket. If he will train for three-point shooting, what should be the ball's angle when he shoots the ball if he will try to shoot from a height as high as the basket with an initial velocity of 8.2 m/s? Is it 40°; 50°; 60°? How long would it take for the ball to reach the ring for each of the angles? What is the ball's maximum height for each of the angles? And how fast is the ball's horizontal and vertical initial velocities for each or the angles?

The tee of the world’s longest par 3 sits atop South Africa’s Hanglip Mountain at 400.0 m above the green and can only be reached by helicopter. The horizontal distance to the green is 359.0 m. Neglect air resistance. If a golfer launches a shot that is 34.5 degrees with respect to the horizontal, what initial speed, in m/s, must she give the ball to land it on the green?  What is the time, in seconds, that it takes the ball to reach the green?

A punter kicks a football at an angle of 30 degrees with the horizontal at an initial speed of 15 m/s. Where should a punt returner position himself to catch the ball just before it strikes the ground?

You want to land a projectile 1 m away from where it is launched at 4.4 m/s. What angles can be used?

You buy a plastic dart gun, and being a clever physics student you decide to do a quick calculation to find its maximum horizontal range. You shoot the gun straight up, and it takes 4.0 s for the dart to land back at the barrel. What is the maximum horizontal range of your gun?

You are 6 meters away from a wall. You throw a ball at a 45 degree angle. Assuming that there is no air resistance, and when the ball bounces from the wall, the ball loses half of it’s velocity in both the x and y direction, how hard do you have to kick the ball for it to land 14 meters away from the wall? Where does it hit the wall?