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? 0.75 seconds 1.75 seconds 1.5 seconds 1 second

Answer 1

0.75 seconds

Given :

• h(x) = -16x² + 4x + 6

To find :

• Time taken by the athelete to jump over the pole

Solution:

In order to find out the time taken by her,we will need to find the value of x out of the equation provided.

In order to find out the factors of the equation,we will use double splitting method,

• -16x² + 4x + 6
• -2(8x²-4x-3)
• -2(8x²+4x-6x-3)
• -2[4x(2x+1)-3(2x+1)]
• -2(2x+1)(4x-3)

Therefore,

• x = -1/2 or 3/4

Since , time can't be negative, hence, time taken by the athelete to jump over the pole would be 3/4 seconds or 0.75 seconds.