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

question 20

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 $t = \sqrt { \frac { h } { 4.9 } }$ , 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 3 seconds.

• A) \(\mathrm { h } = 4.9 \mathrm { t } ^ { 2 } ; 44.1 \mathrm {~m}\)
• B) \(\mathrm { h } = 24.01 \mathrm { t } ; 72 \mathrm {~m}\)
• C) \(h = 24.01 t ^ { 2 } ; 216.1 \mathrm {~m}\)
• D) \(\mathrm { h } = 4.9 \mathrm { t } ; 14.7 \mathrm {~m}\)

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