math/algebra
posted by Anon .
A kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet per second.
Write an equation that gives the height (in feet) of the football as a function of the time (in seconds) since it was punted.
Find the height (in feet) of the football 2 seconds after the punt.
Calculate how many seconds after the punt the ball would hit the ground.

height = 16t^2 + 47t + 3
when t=2
height = 64 + 94 + 3 = 33 feet high
to hit the ground, height = 0
16t^2 + 47t+3=0
16t^2  47t  3 = 0
(t3)(16t + 1) = 0
t = 3 or t = a negative, which is not valid
it will hit the ground after 3 seconds
Respond to this Question
Similar Questions

college algebra
Isn't this a plug and chug? I will be happy to critique your thinking. Your equal signs in the function are not correct, I assume that is a typo. suppose a baseball is shot up from thr ground straight up with an initial velosity of 
math
A kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet per second. Write an equation that gives the height (in feet) of the football as a function of the time (in seconds) since it was punted. Find … 
Math/ Calculus Help1
Supplies are dropped from a stationary (not moving up or down) helicopter and, after some amount of time, land on the ground with a velocity of 160 feet per second. Assumptions: Start time at t = 0 and ignore air resistance. Recall … 
Maths/ Calc
Supplies are dropped from a stationary (not moving up or down) helicopter and, after some amount of time, land on the ground with a velocity of 160 feet per second. Assumptions: Start time at t = 0 and ignore air resistance. Recall … 
Algebra 1
A kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet per second. 1. Write an equation that gives the height (in feet) of the football as a function of the time (in secs) since it was punted. Okay. … 
Precalculus
The quarterback of a football team releases a pass at a height of 7 feet above the playing field, and the football is caught at a height of 4 feet, 30 yards directly downfield. The pass is released at an angle of 35 degrees with the … 
Math
The quarterback of a football team releases a pass at a heights of 7 feet above the playing field, and the football is caught at a height of 4 feet, 30 yards directly downfield. The pass is released at an angle of 35 degrees with the … 
Algebra
The function H(t) = 16t2 + vt + s shows the height H (t), in feet, of a projectile launched vertically from s feet above the ground after t seconds. The initial speed of the projectile is v feet per second. Part A: The projectile … 
algebra word problem
A kicker punts a football from 3 feet above the ground with an initial velocity of 47 feet per second.1) write an equation that gives the height (in feet) of the football as a function of the time (in seconds) since it was punted. … 
MATH
During halftime of a footballgame, a sling shot launches Tshirts at the crowd. A Tshirt is launched from a height of 33 feet with an initial upward velocity of 64 feet per second. The Tshirt is caught 48 feet above the …