Solve the Problem $\mathrm { H }$ (In Meters) After $\mathrm { x }$

question 282

Multiple Choice

Solve the problem.
-If a rock falls from a height of 70 meters on Earth, the height $\mathrm { H }$ (in meters) after $\mathrm { x }$ seconds is approximately $\mathrm { H } ( \mathrm { x } ) = 70 - 4.9 \mathrm { x } ^ { 2 }$
When does the rock strike the ground? Round to the nearest hundredth, if necessary.

• A) \(14.29 \mathrm { sec }\)
• B) \(2.92 \mathrm { sec }\)
• C) \(3.78 \mathrm { sec }\)
• D) \(1.71 \mathrm { sec }\)

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Definitions:

Common Difference

The steady gap found between successive numbers in an arithmetic progression.

Common Ratio

In a geometric sequence, the consistent factor by which each term is multiplied to produce the next term.

Geometric Sequence

A geometric sequence is a sequence of numbers where each term after the first is found by multiplying the previous one by a fixed, non-zero number called the common ratio.

Common Ratio

In a geometric sequence, the constant factor by which each term is multiplied to get the next term.