You launch a toy rocket from a height of 5 feet. The height h, in feet of the
rocket t seconds after taking off is given by the formula h = -3t2 + 14t + 5.
a. How long will it take for the rocket to hit the ground?

b. Find the time when the rocket is 5 feet from the hitting the ground.
2. The cost C of producing x “Total Cool Coolers” is modeled by the equation
C = -0.02x2 + 3.4x – 17. How many coolers are produced when the cost is
$19. (Round to the nearest whole number).

3. The revenue R, of producing and selling x “Awesome Hearing Aids” is
modeled by the equation R = -4x2 + 118x. How many hearing aids need to
be produced and sold to earn a revenue of $850? You may have more than
one answer. (Round to the nearest whole number).

4. A rocket is launched at t = 0 seconds. Its height, in meters above sea-level, is
given by the equation h = -4.9t2 + 52t + 367. What time does the rocket hit