I need help with these problems. Please explain how to get the answer with steps. I appreciate it. Thank you!
1. A football kicker is kicking a field goal from 50 yards away and must go over a goal post that is 10 feet high. The ball is kicked from the ground and must be 10 feet in the air vertically before it is 5 yards horizontally. Write a parametric equations with the minimum angle of elevation necessary and the minimum initial velocity (in miles per hour) necessary for a successful field goal. Also the find the time it takes for the football to go through the field goal posts.
2. Convert from polar equation to rectangular form.
r= 2/1+sin(theta)
3.) Convert from rectangular equation to polar form.
x^2+y^2-8y=0
4. Given r=ep/1 + or - cos(theta) which is the vertical directrix
or r=ep/1 + or - sin(theta) which is horizontal directrix
a) Identify the type of conic section given, and find the eccentricity and the distance to the directrix
r=10/3+9sin(theta)
b) Find the polar equation of the conic with its focus at the pole
Ellipse conic with eccentricity of 3/4 and directrix of y= -4
1. A football kicker is kicking a field goal from 50 yards away and must go over a goal post that is 10 feet high. The ball is kicked from the ground and must be 10 feet in the air vertically before it is 5 yards horizontally. Write a parametric equations with the minimum angle of elevation necessary and the minimum initial velocity (in miles per hour) necessary for a successful field goal. Also the find the time it takes for the football to go through the field goal posts.
2. Convert from polar equation to rectangular form.
r= 2/1+sin(theta)
3.) Convert from rectangular equation to polar form.
x^2+y^2-8y=0
4. Given r=ep/1 + or - cos(theta) which is the vertical directrix
or r=ep/1 + or - sin(theta) which is horizontal directrix
a) Identify the type of conic section given, and find the eccentricity and the distance to the directrix
r=10/3+9sin(theta)
b) Find the polar equation of the conic with its focus at the pole
Ellipse conic with eccentricity of 3/4 and directrix of y= -4