Question

Question #24507

Answer 1

The second kick travels `5` yards further.

Explanation:

[First kick]
`color(red)"I assume that 25 yards is the horizontal distance."`
As it takes horizontal `25` yards to reach the maximum height, it will take another `25` yards to fall down to the ground.

Total horizontal distance is `25*2=50` yards.

[Second kick]
Solve `f(x)=0` to find the horizontal distance.
`-0.029x(x-55)=0`
`x(x-55)=0`
`x=0,55`

`x=0` is the starting point(where the player kick the ball).
`x=55` is the point where the football hit the ground.

Therefore, the second kick goes further by `55-50=5` yards.