Homework Help: Help with Math

Posted by Rachel on Tuesday, July 22, 2008 at 9:54pm.

The path of a basketball can be modeled by the equation h(d)=-0.13d^2+d+2. where h(d) is the height in meters or the basketball and d is the horizontal distance in meters from the player. How far does the ball travel horizontally before hitting the floor?

Help with Math - Dr Russ, Wednesday, July 23, 2008 at 7:19am
You need to find the solutions for

0=-0.13d^2+d+2

How you tackel it will depend on where you are with your maths. You could graph it (e.g. use Excel), guess values and slowly get closer to the answer or use the general equation to solve a quadratic.

For the latter:

d=-1+/-(1-4x-0.13x2)^0.5/(-0.13x2)

I get approximately 9.35 metres

but check my working.

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