Welcome :: Homework Help and Answers :: Mathskey.com
Welcome to Mathskey.com Question & Answers Community. Ask any math/science homework question and receive answers from other members of the community.

13,414 questions

17,804 answers

1,438 comments

45,275 users

Word problem

0 votes
) The height y (in feet) of a ball thrown by a child is given by the formula below where x
 is the horizontal distance in feet from the point at which the ball is thrown. Use this to answer the following questions. 
 
y=−1/16x^2+6x+3
 
 
  a) How high is the ball when it leaves the child's hand?  
 
  b) What is the maximum height of the ball?  
 
  c) How far from the child does the ball strike the ground?  
asked Jul 8, 2016 in PRECALCULUS by anonymous

1 Answer

0 votes

Step 1:

The height image (in feet) of a ball thrown by a child is image.

Here image is the horizontal distance in feet from the point at which the ball is thrown.

(a)

Find the height from leaves the children hand.

Substitute image in image to find the image intercept.

image

Hence, the ball was image feet above the ground before it was thrown.

(b)

Find the maximum height of the ball.

The vertex form of the general equation is image.

Rewrite the equation into vertex form is

image

Thus, the maximum height of the ball is image.

(c)

Find the distance from child the ball strike the ground.

Factor the equation and set both factors equal to zero.

image

The children far from image the ball strike the ground.

Solution:

(a) The ball was image feet above the ground before it was thrown.

(b) The maximum height of the ball is image.

(c) The children far from image the ball strike the ground.

answered Jul 9, 2016 by Anney Mentor

Related questions

asked Jul 8, 2016 in PRECALCULUS by anonymous
asked Jul 8, 2016 in PRECALCULUS by anonymous
asked Jul 7, 2016 in PRECALCULUS by anonymous
asked Jul 7, 2016 in PRECALCULUS by anonymous
asked Jul 7, 2016 in PRECALCULUS by anonymous
asked Jul 4, 2016 in PRECALCULUS by anonymous
asked Nov 3, 2014 in ALGEBRA 1 by anonymous
asked Oct 24, 2014 in ALGEBRA 2 by anonymous
...