Question

practice: free fall equations
name _ date _
a. jordan drops a rock and it free - falls for 1.5 sec.
a) how far did it fall?
equation: _
work: _
answer: _
b. jerrica drops a pen and it free - falls for 3 sec.
a) what was its instantaneous velocity?
eq _
work _

Explanation:

Step1: Identify the free - fall formula

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

Step2: Substitute the values for part A

Given $t = 1.5\ s$ and $g=9.8\ m/s^{2}$, substitute into the formula $d=\frac{1}{2}\times9.8\times(1.5)^{2}$.
First, calculate $(1.5)^{2}=2.25$. Then, $\frac{1}{2}\times9.8\times2.25 = 4.9\times2.25=11.025\ m$.

Answer:

a) $11.025\ m$

For part B, the formula for the instantaneous velocity in free - fall is $v = gt$.

Step1: Identify the formula

The formula for instantaneous velocity in free - fall is $v = gt$.

Step2: Substitute the values

Given $t = 3\ s$ and $g = 9.8\ m/s^{2}$, substitute into the formula $v=9.8\times3=29.4\ m/s$.