Radicals (aka* roots)

If a square is $49{\text{ft}}^2$ in area, how long are the sides?

A real estate developer is putting houses down on a plot of land that is 50 acres large. He wants to put down 100 houses, so each house will sit on a $\frac{1}{2}$ -acre lot. (1 acre is 43,560 square feet.) If each house sits on a square lot, how long are the sides of each lot?

A piano is dropped from a building 100 ft high. (“Dropped”implies that someone just let go of it, instead of throwing it—so it has no initial velocity.)

• A

  Write the equation of motion for this piano, recalling as always that $h\left(t\right)=h_o+v_{o}t–16t^2$

• B

  According to the equation, how high is the piano when $t=0$ ? Explain in words what this answer means.

• C

  After 2 seconds, how high is the piano?

• D

  How many seconds does it take the piano to reach the ground?

• E

  Find the inverse function that will enable to me find the time $t$ when the piano reaches any given height $h$ .