Applications: Quadratic equations
Quadratic equations
A basketball player throws the ball to a basket.
The basket hangs at #\unit{3.05}{m}# height. The basketball player stands at a horizontal distance of #\unit{5}{m}# of the basket.
The basketball player throws the ball according to a quadratic formula of the form \[h=-0.3\cdot d^2+2\cdot d+0.8\]
In this formula #h# is the height of the ball in#\unit{}{m}# and #d# in#\unit{}{m}# is the horizontal distance from the basketball player. You may assume that the basketball player throws the ball in the correct direction to the basket.
Does the basketball player hit?
The basket hangs at #\unit{3.05}{m}# height. The basketball player stands at a horizontal distance of #\unit{5}{m}# of the basket.
The basketball player throws the ball according to a quadratic formula of the form \[h=-0.3\cdot d^2+2\cdot d+0.8\]
In this formula #h# is the height of the ball in#\unit{}{m}# and #d# in#\unit{}{m}# is the horizontal distance from the basketball player. You may assume that the basketball player throws the ball in the correct direction to the basket.
Does the basketball player hit?
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