Answer to Question #84907 in Mechanics | Relativity for nataly hilan

Question

The balloonist was travelling at 62.6 m/s when the parachute opened. a) What was the average acceleration? b) Why was the value of the average less than that for gravity?

Answer 1

a) The balloonist started from 0 m/s in vertical direction. Then in time

$$\Delta t$$

he reached the speed of 62.6 m/s, thus the acceleration was

$$a=\frac{v_1-v_0}{\Delta t}=\frac{62.6-0}{\Delta t}=\frac{62.6}{\Delta t}.$$

b) From the condition it seems like time

$$\Delta t$$

was such that

$$a< g$$

. This happened because of the drag forces caused by the opened parachute and the influence of air resistance.