At the Dallas Cowboys Stadium, the minimum clearance height between the football

Question

At the Dallas Cowboys Stadium, the minimum clearance height between the football field and the gigantic video screens that hang over the field is only 90 ft (27.43 m). In the first game played at the Cowboys Stadium on August 21, 2009, a punter%u2019s kick hit the video screen. a. What minimum initial vertical velocity would a football need to have to hit the video screens if it were kicked from a height 1 m above the playing field surface? Assume that air resistance does not affect the flight of the football.
answer: 22.77 m/s I need workout steps please.
b. If the video screens were not in the way, what would be the hang time for a football kicked 27.43 m high? Again, assume that air resistance does not affect the flight of the football and that the ball is 1 m above the playing field when it is kicked.
answer: 4.69 s I need workout steps please At the Dallas Cowboys Stadium, the minimum clearance height between the football field and the gigantic video screens that hang over the field is only 90 ft (27.43 m). In the first game played at the Cowboys Stadium on August 21, 2009, a punter%u2019s kick hit the video screen. a. What minimum initial vertical velocity would a football need to have to hit the video screens if it were kicked from a height 1 m above the playing field surface? Assume that air resistance does not affect the flight of the football.
answer: 22.77 m/s I need workout steps please.
b. If the video screens were not in the way, what would be the hang time for a football kicked 27.43 m high? Again, assume that air resistance does not affect the flight of the football and that the ball is 1 m above the playing field when it is kicked. At the Dallas Cowboys Stadium, the minimum clearance height between the football field and the gigantic video screens that hang over the field is only 90 ft (27.43 m). In the first game played at the Cowboys Stadium on August 21, 2009, a punter%u2019s kick hit the video screen. a. What minimum initial vertical velocity would a football need to have to hit the video screens if it were kicked from a height 1 m above the playing field surface? Assume that air resistance does not affect the flight of the football.
answer: 22.77 m/s I need workout steps please.
b. If the video screens were not in the way, what would be the hang time for a football kicked 27.43 m high? Again, assume that air resistance does not affect the flight of the football and that the ball is 1 m above the playing field when it is kicked.
answer: 4.69 s I need workout steps please

Explanation / Answer

a/0conserving energy,

0.5mv^2 +mgh =mgh2

or 0.5*v^2 +9.8*1=9.8*27.43

or v=22.76 m/s

b)time of flight for the upward motion=v/g

=22.76/9.8

2.322 s

time of flight for the downward motion be ts.so,

0.5gt^2=h

or 0.5*9.8*t^2=27.43

or t=2.366 s

so net time=2.322+2.366

=4.688s

~4.69 s

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