Question

fill in the blank of the following free fall chart: (this chart goes down instead of across)

time\t0 sec\t10 sec
acceleration\t10 m/s/s\t
instantaneous velocity\t0 m/s\tm/s
average velocity\t0 m/s\tm/s
distance fallen\t0 m\tm

Explanation:

Step1: Determine acceleration

In free - fall near the Earth's surface (neglecting air resistance), the acceleration due to gravity is constant. So, at $t = 10$ s, the acceleration $a=10$ m/s².

Step2: Calculate instantaneous velocity

Use the formula $v = u+at$, where the initial velocity $u = 0$ m/s, $a = 10$ m/s² and $t = 10$ s. So, $v=0 + 10\times10=100$ m/s.

Step3: Calculate average velocity

For a body with constant acceleration starting from rest, the average velocity $\bar{v}=\frac{u + v}{2}$. Here, $u = 0$ m/s and $v = 100$ m/s. So, $\bar{v}=\frac{0 + 100}{2}=50$ m/s.

Step4: Calculate distance fallen

Use the formula $s=ut+\frac{1}{2}at^{2}$. Since $u = 0$ m/s, $a = 10$ m/s² and $t = 10$ s, then $s=0\times t+\frac{1}{2}\times10\times10^{2}=500$ m.

Answer:

Acceleration: 10 m/s²
Instantaneous Velocity: 100 m/s
Average Velocity: 50 m/s
Distance Fallen: 500 m