Solve
-A Ball Is Thrown Upward with an Initial Velocity $h = - 4.9 t ^ { 2 } + 35 t + 90$

question 237

Multiple Choice

Solve.
-A ball is thrown upward with an initial velocity of 35 meters per second from a cliff that is 90 meters high. The height of the ball is given by the quadratic equation $h = - 4.9 t ^ { 2 } + 35 t + 90$ where $h$ is in meters and $t$ is the time in seconds since the ball was thrown. Find the time it takes the ball to hit the ground. Round your answer to the nearest tenth of a second.

• A) \(9.2 \mathrm { sec }\)
• B) \(9.7 \mathrm { sec }\)
• C) \(14.2 \mathrm { sec }\)
• D) \(8.7 \mathrm { sec }\)

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Definitions:

Production Possibilities Frontier

A graph that shows the highest possible production levels for two or more products based on certain input resources.

Infeasible Levels

Conditions or scenarios that cannot be achieved or realized due to practical or theoretical constraints.

Efficient

Achieving maximum productivity with minimum wasted effort or expense, often in the context of economic resource allocation.

Economy

The system by which goods and services are produced, distributed, and consumed within a society or geographic area.