Word Problem For Algebra

Question

h=-16t²+V0t+h0 ball on a hill is 20ft above the landing and the initial velocity is 144 ft/sec. How long is the ball in the air before landing?

Answer 1

h(t) = -16t² + 144t + 20 = 0

divide by 4

-4t² + 36t + 5 = 0

Use the quadratic formula to solve for t

a=-4, b=36, c=5. Plug those numbers

into the quadratic formula.

t=(-36)+(36²-4(-4)(5))^1/2 all divided by 2(-4)

You can ignore the negative square root.

Carefully make the calculations, to

get 9/2 + (1/2)(86)^1/2 That's 4.5 + slightly more than 4.5

or slightly more than 9 seconds, close to 9.1 seconds