Tazmin Horton

2021-08-12

The height of the ball increases until it reaches a maximum height of 8 yards, 20 yards away from the player.

To find: Which kick travels further before hitting the ground.

To find: Which kick travels further before hitting the ground.

wheezym

Skilled2021-08-13Added 103 answers

Step 1

Which kick travels higher.

Here the maximum height of the first ball is 8 yards.

When the ball reached its maximum height it was 20 yards away

from player, so the first ball travels

To find the maximum height find the value of vertex.

If the quadratic equation is of the form

Step 2

Given that a second kick is modelled by,

After solving,

Compare

So the vertex is,

Substitute

So the maximum height of the second ball is 5 yards and the second ball travels

Step 3

Therefore,

The maximum height of the second ball is 5 yards and the second ball travels

$\frac{20b}{{\left(4{b}^{3}\right)}^{3}}$

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