Tuesday

March 3, 2015

March 3, 2015

Posted by **steph** on Thursday, November 10, 2011 at 8:19pm.

a) draw the illustration

b) for what time interval is the ball more than 96 feet above the ground?

c) what is the maximum height of the ball?

d) after how many seconds does the ball reach the maximum height?

- pre-calc -
**Reiny**, Thursday, November 10, 2011 at 9:56pmb)

80t - 16t^2 > 96

16t^2 - 80t + 96 < 0

t^2 - 5t + 6 < 0

(t-2)(t-3) < 0

so the ball is higher than 96 for

2 < t < 3, that is, between 2 and 3 seconds

c) s = -16(t^2 - 5t**+ 25/4 - 25/4**)

= -16(t-5/2)^2 + 100

I will leave it up to you to interpret that result.

- pre-calc -
**steph**, Thursday, November 10, 2011 at 10:09pmanother great help!

**Answer this Question**

**Related Questions**

Pre-Calculus - A ball is thrown vertically upward with an initial velocity of 64...

Math- - A ball is thrown vertically upward with an initial velocity of 96 feet ...

Pre-Calc - ball thrown vertically upward with an initial velocity of 80 ft per ...

Algebra - THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the...

Algebra - THe function h(t)=-16t^2+v0t+h0 describes the height in feet above the...

physics - A ball is thrown vertically upward from the ground with an initial ...

Calculus - A ball is thrown vertically upward with an initial velocity of 135 ...

math - An object that is falling or vertically projected into the air has it ...

Algebra - If a ball is thrown vertically upward from a height of 56ft. above ...

math - a ball is thrown upward at 64 feet per second from the top of an 80 feet ...