Question

question 24 of 25
a gymnast falls from a trapeze while doing a stunt. assuming she is in free fall, how far will she have fallen in 0.3 seconds?
a. 0.6 m
b. 1.5 m
c. 0.4 m
d. 0.9 m

Explanation:

Step1: Identify the formula

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

Step2: Substitute the values

Substitute $g = 9.8\ m/s^{2}$ and $t = 0.3\ s$ into the formula: $d=\frac{1}{2}\times9.8\times(0.3)^{2}$.

Step3: Calculate the result

First, calculate $(0.3)^{2}=0.09$. Then, $\frac{1}{2}\times9.8\times0.09 = 4.9\times0.09=0.441\approx0.4\ m$.

Answer:

C. 0.4 m