Chapter 5.CR, Problem 7CR

Reminder Round all answers to two decimal places unless otherwise indicated.

Falling Objects An object is dropped near the surface of a planet. The time $T$, in seconds, it takes for the object to falls feet is given by the formula

$T=c{s}^{0.5}$

for some constant $c$ that depends on the planet.

a. On Earth, the constant $c$ is $0.25$. How long does it take an object to fall $16\text{feet}$ on Earth?

b. On a certain planet, an object takes $5\text{seconds}$ to fall $20\text{feet}$. What is the value of the constant $c$ for this planet?

c. If it takes $1\text{second}$ for an objects to fall $10\text{feet}$ on a planet, how long does it take an object to fall $40\text{feet}$?