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) $h = 24.01 \mathrm { t } ; 72 \mathrm {~m}$
C) $\mathrm { h } = 24.01 \mathrm { t } 2 ; 216.1 \mathrm {~m}$
D) $h = 4.9 \mathrm { t } ; 14.7 \mathrm {~m}$

Question

Quizplus · Accepted Answer

To solve for $h$, we need to isolate it in the given equation:
$$t = \sqrt { \frac { h } { 4.9 } } $$
Square both sides:
$$t^2 = \frac {h}{4.9} $$
Multiply both sides by 4.9:
$$4.9t^2 = h$$
Therefore, the height from which an object was dropped if it hits the ground after falling for 3 seconds is:
$$h = 4.9 \times 3^2 = 44.1 \mathrm{~m}$$
Option A matches this result, so it is the correct answer.

Solve the Problem hhh Meters, the Time It Takes for the Object to Reach

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