Question

A catapult launches a boulder with an upward velocity of 112 ft/s. The height of the boulder, h, in feet after t seconds is given by the function

h= -16t^2+112t+30.
How long does it take the boulder to reach its maximum height? What is the boulder’s maximum height? Round to the nearest hundredth, if necessary.

A. 7 s; 30 ft

B. 3.5 s; 366 ft

C. 3.5 s; 618 ft

D. 3.5 s; 226 ft

A, B, C, or D? Please explain :)

Answer 1

perhaps you should try as possible solution options.

http://openstudy.com/users/zigzagoon2000#/updates/509de176e4b013fc35a15bed

Answer 2

do you know how to differentiate...?

Answer 3

No I do not.

Answer 4

ok... do you know how to find the line of symmetry for a parabola..?

Answer 5

No.

Answer 6

ok... well that rules out the 2 easiest methods for this question.

My suggest is use a graphing package and graph the curve...

Answer 7

Do you know the answer?

Answer 8

I know the time when the max height occurs..

Answer 9

What is the time when the max height occurs?

Answer 10

that doesn't help you understand how to solve it..

Answer 11

I do not know how to solve it and it will take me years to work my way up to that knowledge.

Answer 12

here is the easiest solution graph the curve

here is a free site that you can use...

the max height will be the top of the parabola..

http://www.geogebra.org/cms/

Answer 13

I will definitely add that to my bookmarks, but do you know the answer to this question?