And here's another one. How fast must the receiver run?

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Homework Help Overview

The problem involves a quarterback throwing a football to a receiver positioned 25 meters downfield at an angle of 45 degrees and a speed of 22 m/s. Participants are exploring the relationship between the time of flight and the distances involved in the throw.

Discussion Character

  • Exploratory, Assumption checking, Problem interpretation

Approaches and Questions Raised

  • Participants discuss the time of flight calculated using vertical motion equations and question whether the speed of the ball needs to be considered in determining how far the receiver must run.

Discussion Status

Some participants have confirmed the time of flight while others are examining the horizontal distance traveled by the ball and the corresponding distance the receiver needs to cover. There is an ongoing exploration of the horizontal velocity and its implications for the problem.

Contextual Notes

Participants are navigating potential rounding issues and the need to clarify how to calculate the horizontal displacement of the ball. There is uncertainty regarding the calculations for where the ball will land and how that affects the receiver's required speed.

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Homework Statement


A QB sees his receiver 25 m downfield and throws the ball to him at 45 degress, with speed 22 m/s


Homework Equations


well, speed=distance/total time, so i used the equation:d(y)=v(oy)t + .5a(y)t^2
parentheses indicate subscripts...


The Attempt at a Solution



t=-16m/s/-9.8m/s^2
total time=3.2 s.


But wait a second, do I have to account for the speed of the ball? Or can I now just do 25m/3.2s??
 
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you have the time correct... but I'd be careful about your rounding...

What distance does the ball travel horizontally in this time?

What distance does the receiver need to travel to catch the ball?
 
oops, 3.3 seconds


What distance does the ball travel horizontally in this time?
-22m/s * 3.3s?

What distance does the receiver need to travel to catch the ball?
-I'm guessing I would have to find where the ball would land, in which I have no idea how to calculate.




akldfjakldfjalkfjlkdajf. I'm exhausted.
 
What is the horizontal velocity of the ball?

Horizontal displacement of the ball is horizontal velocity * time.

I get time = 3.17s.
 

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