Solve the Problem $$h ( t ) = - 16 t ^ { 2 } + 128 t + 1040$$

Solve the problem.
-A pebble is hurled upward from the top of a 1040-foot-tall building with an initial velocity of 128 feet per second. Neglecting air resistance, the height h(t) in feet of the pebble after t seconds is given by the polynomial function $$h ( t ) = - 16 t ^ { 2 } + 128 t + 1040$$ a. Find the height of the pebble when $t = 1$ .
b. Find the height of the pebble when $t = 5.1$ .
c. Factor the polynomial $- 16 \mathrm { t } ^ { 2 } + 128 \mathrm { t } + 1040$ .
d. When will the pebble hit the ground?

A) a. $896 \mathrm { ft }$
b. $1276.64 \mathrm { ft }$
c. $- 16 ( t - 13 ) ( t + 5 )$
d. $13 \mathrm { sec }$
B) a. $896 \mathrm { ft }$
b. $- 28.96 \mathrm { ft }$
c. $- 16 ( t + 13 ) ( t - 5 )$
d. $5 \mathrm { sec }$
C) a. $1152 \mathrm { ft }$
b. $- 28.96 \mathrm { ft }$
c. $- 16 ( t + 13 ) ( t - 5 )$
d. $5 \mathrm { sec }$
D) a. $1152 \mathrm { ft }$
b. $1276.64 \mathrm { ft }$
c. $- 16 ( t - 13 ) ( t + 5 )$
d. $13 \mathrm { sec }$