A football kicker on his own 34 yard line wants to kick the ball so that it lads on the 1 yard line of the opposing team - for those of you who don't know about football, this is a 65 yard kick - use yards for this calculation not metres. The kicker can kick the ball at 27 yards/sec/ The kicker wants to give his own team mates as much time as possible to get to the spot where the ball is going to land. At what angle should the kicker kick the ball in order to get maximum hang time(time of flight)?

my note [note: instead of m/s, use yards/sec.]

Given :

Distance(horizontal) = 65 yards

Delta Distance(the end height) = 0 yards

Velocity(of kicker) = 27 yards/sec.

Acceleration = -9.8m/s^2

I think... delta D = velocity(vertical) x time + ( .5 x acceleration)(time^2)

trig--cosine, sine, and tan.

cos(theta)=velocity(vertical) / 27 yards

cos(theta)=velocity(horizontal) / 27 yards

ok I've tried thinking of a few ways to start this, but I don't know where to start, If it's okay with anyone, can you give me a start push xD just to put me in the right direction =P don't do the work for me though I want to figure this out too =P

ok i think I might have this =P ill check bac kin 5 minutes

nvm...

What I was thinking was since there can only be one time that if the ball was kicked at 27m/s, for 33 yards, that would mean there would only be 1 angle in which can meet those requirements...

my note [note: instead of m/s, use yards/sec.]

**1. The problem statement, all variables and given/known data**Given :

Distance(horizontal) = 65 yards

Delta Distance(the end height) = 0 yards

Velocity(of kicker) = 27 yards/sec.

Acceleration = -9.8m/s^2

**2. Relevant equations**I think... delta D = velocity(vertical) x time + ( .5 x acceleration)(time^2)

trig--cosine, sine, and tan.

cos(theta)=velocity(vertical) / 27 yards

cos(theta)=velocity(horizontal) / 27 yards

**3. The attempt at a solution**ok I've tried thinking of a few ways to start this, but I don't know where to start, If it's okay with anyone, can you give me a start push xD just to put me in the right direction =P don't do the work for me though I want to figure this out too =P

ok i think I might have this =P ill check bac kin 5 minutes

nvm...

What I was thinking was since there can only be one time that if the ball was kicked at 27m/s, for 33 yards, that would mean there would only be 1 angle in which can meet those requirements...

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