Solve the Problem $t = \sqrt { \frac { \mathrm { h } } { 4.9 } }$

question 290

Multiple Choice

Solve the problem.
-When an object is dropped to the ground from a height of h meters, the time it takes for the object to reach the ground is given by the equation $t = \sqrt { \frac { \mathrm { h } } { 4.9 } }$ , where $t$ is measured in seconds. Solve the equation for $h$ . Use the result to determine the height from which an object was dropped if it hits the ground after falling for 5 seconds.

• A) \(h = 24.01 \mathrm { t } ^ { 2 } ; 600.3 \mathrm {~m}\)
• B) \(\mathrm { h } = 24.01 \mathrm { t } ; 120.1 \mathrm {~m}\)
• C) \(h = 4.9 t ^ { 2 } ; 122.5 \mathrm {~m}\)
• D) \(\mathrm { h } = 4.9 \mathrm { t } ; 24.5 \mathrm {~m}\)

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Definitions:

Brain Function

The activities associated with the brain, including cognition, emotion, memory, and motor skills, essential for survival and daily living.

Interneuron

A nerve cell that carries impulses from one nerve cell to another and is not directly associated with either an effector or a sensory receptor. Most interneurons are association neurons.

Gray Matter

The darker, non-myelinated parts of the central nervous system, consisting mainly of neuronal cell bodies, dendrites, and unmyelinated axons, involved in muscle control and sensory perception.

White Matter

Tissue in the brain and spinal cord made up of myelinated nerve fibers, responsible for transmitting signals within the nervous system.