Question

You are falling down a chasm at 9.80 m/s2. It's a deep chasm, and you've got a calculator with you. If you are currently hurtling toward your doom at 23.016 m/s, how many seconds will it take you to reach terminal ivelocity of 195 km/h? Your answer must have the appropriate number of significant figures.

Answer 1

3.2 seconds

Step-by-step explanation

Step 1

convert all measures in m.s.k system

so

Step 2

now, to figure out this we need to use the free fall formula:

`v_f=v_o+at`

hence, replace

`\begin{gathered} v_f=v_o+at \\ 54.16(m)/(s)=23.016(m)/(s)+9.8(m)/(s^2)\cdot t \\ 54.16=23.016+9.8t \end{gathered}`

Now, let's solve for t

`\begin{gathered} 54.16=23.016+9.8t \\ \text{subtract 23.016 in both sides} \\ 54.16-23.016=23.016+9.8t-23.016 \\ 31.15=9.8t \\ \text{divide both sides by 9.8} \\ (31.15)/(9.8)=(9.8t)/(9.8) \\ 3.178=t \\ \text{rounded} \\ t=3.2\text{ seconds} \end{gathered}`

therefore, the answer is

3.2 seconds

I hope this helps you