A rock is thrown vertically upward from the top of a $250\text{ m}$ cliff with an initial velocity of $15\text{ m/s}$. Assume only gravity acts on the rock $(g=9.8{\text{ m/s}}^2)$. At what time does the rock reach its maximum height? What is that height?

• A. $t=\frac{49}{75}\text{ s}$$s=261\frac{98}{47}\text{ m}$
• B. $t=\frac{75}{49}\text{ s}$$s=261\frac{98}{47}\text{ m}$
• C. $t=\frac{49}{75}\text{ s}$$s=261\frac{47}{98}\text{ m}$
• D. $t=\frac{75}{49}\text{ s}$$s=261\frac{47}{98}\text{ m}$