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

question 331

Multiple Choice

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. \(13 \mathrm { sec }\)

---

Definitions:

Lumber Prices

The cost at which lumber is sold, influenced by factors such as supply and demand, production costs, and market conditions.

Wood Furniture

Items of furniture made from wood, valued for their aesthetic, durability, and environmental sustainability, ranging from seating to storage solutions.

Price Elasticity Of Supply

The percentage change in quantity supplied, divided by the percentage change in the price that caused the change in quantity supplied.

Immobile Factor

Refers to a factor of production that cannot easily be moved from one place to another, such as land or a fixed installation.