Solve the Problem $h ( t ) = - 16 t ^ { 2 } + 40 t + 50$

question 21

Multiple Choice

Solve the problem.
-Consider the quadratic model $h ( t ) = - 16 t ^ { 2 } + 40 t + 50$ for the height (in feet) , $h$ , of an object $t$ seconds after the object has been projected straight up into the air. Find the maximum height attained by the object. How much time does it take to fall back to the ground? Assume that it takes the same time for going up and coming down.

• A)maximum height = 75 ft; time to reach ground = 2.5 seconds
• B)maximum height = 50 ft; time to reach ground = 1.25 seconds
• C)maximum height = 75 ft; time to reach ground = 1.25 seconds
• D)maximum height = 50 ft; time to reach ground = 2.5 seconds

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Definitions:

Solid Mantle

The thick layer of solid rock between the Earth's crust and its liquid outer core, involved in plate tectonics and volcanic activity.

Earthquakes

Natural phenomena caused by a sudden release of energy in the Earth's crust, leading to ground shaking and, in some cases, causing great destruction.

Volcanoes

Openings in the Earth's crust from which lava, ash, and gases erupt.

High Mountains

Elevated landforms reaching great heights above the surrounding terrain, often formed by tectonic processes like collision and rifting.