Posted by Kate on Monday, August 8, 2011 at 5:38pm.
So i need to figure out what the angle and speed was of a foot ball that traveled 59 yards how can i figure that out? what formula can i use?

math  MathMate, Monday, August 8, 2011 at 6:12pm
An interesting twist!
Let the initial horizontal velocity be vx, and the initial vertical velocity by vy (both in ft/s).
Time taken to travel a horizontal distance of D=59 yards = 177 ft is
D/vx
Time t taken to go up and fall back to ground level, based on the acceleration due to gravity g=32.2 ft/s² is:
uy*t(1/2)gt²=0
t(uygt/2)=0
where t=0 is a solution (initial cond.)
So t=2*uy/g is the time it takes to land on the ground.
Equate with time for horizontal distance, we get
2*uy/g = D/vx
ux*uy = gD/2 = 32.2*177/2 = 2849.7 ft²/s²
For minimal effort, we can set
ux=uy=√(2849.7)= 53.3826 ft/s
Since ux=uy, angle with horizontal is 45°.
Note that the angle can vary, depending on the value of one of the two quantities, vx or vy.
Answer This Question
Related Questions
 math  Okay. so say their is a list of numbers: x y 0 3 1 5 2 7 3 9 4 11 I know ...
 math  If a student scored an average of 60% on a test, what score would he/she ...
 physics please help  A 5.00 kg ball (ball 1), moving to the right at a velocity...
 Math  AAA Company currently sells radios for $ 80 less 25 % . Their competitors...
 algebra  What is the slope of a line through (5,2) and (6,7) in the standard(x...
 math (cant figure it out)  How to find the surface area of a cylinder with a ...
 5TH GRADE MATH  Need help trying to tell my daughter what or how to draw this...
 Math  If an oval is 225 yards how many feet of fence go around it fence is sold...
 physics  Okay, I have an example problem that I'm trying to solve that comes ...
 Calc2  A) A ball is dropped from "M" meters above a flat surface. Each time the...
More Related Questions