Question

An athlete does a pole vault during a competition and lands on her feet. how long did it take her to jump over the pole if the jump is represented by the equation h(x)=16x^2+4x+6?

Answer 1

A quadratic equation is an equation whose leading coefficient is of second degree. The time can not be negative, therefore, the time in which the athlete complete the jump is 0.75 seconds.

What is a quadratic equation?

A quadratic equation is an equation whose leading coefficient is of second degree also the equation has only one unknown while it has 3 unknown numbers. It is written in the form of ax²+bx+c.

The  jump is represented by the equation h(x)= -16x²+4x+6. The time is represented by x, now the height of the athlete will be zero when the jump will be completed therefore, we can write,

0 = - 16x² + 4x + 6

0 =  - 16x² + 12x - 8x + 6

0 = -4x(4x-3) -2(4x-3)

0 = (-4x-2)(4x-3)

x = -0.50, 0.75

Since the time can not be negative, therefore, the time in which the athlete complete the jump is 0.75 seconds.

Learn more about Quadratic Equations:

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