Question

1. rochelle is in a hot air balloon, taking pictures of a festival below. as she is taking photos, she drops the lens cap for her camera. after 3.40 seconds, how far as the lens cap fallen? 56.6 m 19.4 m 42.1 m 28.2 m

Explanation:

Step1: Identify the formula

The formula for the distance fallen in free - fall motion is \(d = \frac{1}{2}gt^{2}\), where \(g = 9.8\ m/s^{2}\) (acceleration due to gravity) and \(t\) is the time.

Step2: Substitute the values

Given \(t = 3.40\ s\) and \(g=9.8\ m/s^{2}\). Substitute into the formula: \(d=\frac{1}{2}\times9.8\times(3.40)^{2}\).
First, calculate \((3.40)^{2}=3.40\times3.40 = 11.56\).
Then, \(\frac{1}{2}\times9.8\times11.56 = 4.9\times11.56\).

Step3: Calculate the result

\(4.9\times11.56=(5 - 0.1)\times11.56=5\times11.56-0.1\times11.56=57.8 - 1.156 = 56.644\approx56.6\ m\)

Answer:

56.6 m