Question

A punter in a football game kicks a ball from the goal line at 60 degrees from horizontal at 25.0m/s a. what is the hang time of the punt? b. how for downfield does the ball

a quilt of a country." america is an improbable idea. a mongrel nation built of ever-changing disparate parts, it is held together by a notion, the notion that all men are created equal, though everyone knows that most men consider themselves better than someone. "of all the nations in the world, the united states was built in nobody's image," the historian daniel boorstin wrote. that's because it was built of bits and pieces that seem discordant, like the crazy quilts that have been one of its great folk-art forms, velvet and calico and checks and brocades. out of many, one. that is the ideal. the reality is often quite different, a great national striving consisting frequently of failure. many of the oft-told stories of the most pluralistic nation on earth are stories not of tolerance, but of bigotry. slavery and sweatshops, the burning of crosses and the ostracism of the other. children learn in social-studies class and in the news of the lynching of blacks, the denial of rights to women, the murders of gay men. it is difficult to know how to convince them that this amounts to "crown thy good with brotherhood," that amid all the failures is something spectacularly successful. perhaps they understand it at this moment [in the aftermath of 9/11], when enormous tragedy, as it so often does, demands a time of reflection on enormous blessings. which statement best traces the development of a central idea from one paragraph to the next?

Answer 1

The hang time and distance downfield of the ball in a football game can be calculated using projectile motion equations, focusing on the vertical and horizontal components of the initial velocity and considering the effects of gravity.

Step-by-step explanation:

The question provided is split into two parts, which require applications of projectile motion principles to determine the outcomes of kicking a football:

1. Hang time of the punt
2. Distance downfield the ball travels

For the first part asking about the hang time, we need to calculate the time the football spends in the air. The hang time depends solely on the vertical component of the initial velocity and the acceleration due to gravity. We start by finding the vertical component of the velocity (Vy = V * sin(θ)) and then use the kinematic equation for constant acceleration to find the time it takes for the ball to reach the apex and double that to get the hang time because the time to go up is the same as the time to come down.

To find the distance downfield, or the horizontal range, we use the initial horizontal component of the velocity (Vx = V * cos(θ)) and multiply it by the hang time. This gives us the range of the punt downfield assuming no air resistance. However, real-world factors may affect the actual distance, such as wind or air resistance.

Although the question mentions a specific initial speed and angle, the answer will not provide calculations because the second part of the question was truncated and does not seem entirely relevant to the first part.