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1 Answer
- electron1Lv 73 years ago
To determine the time for the camera to hit the ground, use the following equation.
d = vi * t + ½ * a * t^2
d = final height – initial height = 0 – 15 = -15 meters
a = -9.8 m/s^2
-15 = 12 * t + ½ * -9.8 * t^2
4.9 * t^2 – 12 * t – 15 = 0
t = [12 ± √(-12^2 + 4 * 4.9 * -15)] ÷ 9.8
t = [12 ± √438] ÷ 9.8
t = [12 + √438] ÷ 9.8
The time is approximately 3.36 seconds. Let’s use the following equation to determine the height of the balloon at this time.
hf = hi + v * t
hf = 15 + 12 * [12 + √438] ÷ 9.8
This is approximately 30.4 meters.
