Sunday

December 21, 2014

December 21, 2014

Posted by **fee** on Wednesday, March 14, 2012 at 10:15pm.

The function h(t)=-16t squared + 75t + 3 models the path of the baseball where t represents the time in seconds that the ball has been traveling and h represents the height of the ball at time t.

1) after how many seconds is the height of the ball is 79.5 feet?

2) how long will it take for the ball to return to the ground?

3) how long will it take the ball to reach its maximum height? What is the mazimum height reached?

- math -
**Henry**, Thursday, March 15, 2012 at 8:14pm1. h = 16t^2 + 75t + 3 = 79.5 Ft.

-16t^2 + 75t -76.5 = 0.

Use Quadratjc Formula and get:

t = = 1.5 s.

2. d = Vo*t + 0.5g*t^2 = 90.9 Ft.

0 + 16*t^2 = 90.9.

t^2 = 90.9 / 16 = 5.68.

Tf = 2.38 s. = Fall time.

T = Tr + Tf = 2.34 + 2.38 = 4.72 s. =

Time in flight or time to return to gnd.

3a. Tr = (Vf-Vo)/g.

Tr = (0-75) / -32 = 2.34 s. = Rise time

3b. hmax=-16*(2.34)^2 + 75*2.34+3=90.9

Ft.

**Answer this Question**

**Related Questions**

math - Baseball Nick throws a baseball upward with an initial velocity of 60 ...

Alegra 2 - A baseball is hit at a point of 3 feet above ground at a velocity of ...

Algebra - A baseball is hit at a point 2 feet above the ground at a velocity of...

Math/ Calculus Help1 - Supplies are dropped from a stationary (not moving up or ...

Math - A baseball is thrown up in the air from a height of 3 feet with an ...

Algebra - A baseball player hits a baseball into the air with an initial ...

Maths/ Calc - Supplies are dropped from a stationary (not moving up or down) ...

Math - If a baseball is projected upward from ground level with an initial ...

algebra - The height in feet of a projectile with an initial velocity of 32 feet...

Algebra - The height of a ball thrown directly up with a velocity of 40 feet per...