Question

The first stage of the giant Saturn V rocket reached a speed of 2405 m/s at 168 s after liftoff. a. What was the average acceleration in m/s/s? (Enter the magnitude.) b. The acceleration of a falling object if air resistance is negligible is 9.8 m/s/s, called "one g." What was the average acceleration in g's? (Enter the magnitude.)

Answer 1

The theory concerning the kinematic movement tells us that acceleration can be expressed as the change of speed in a finished time, that is, mathematically it can be described as,

$a = \frac{\Delta v}{t}$

Here,

$\Delta v$= Change in velocity (Initial and final)

t = time

If the body starts from rest, its initial velocity will be zero and its final velocity will be that given in the statement, therefore:

$a = \frac{2405-0}{168}$

$a = 14.315m/s^2$

Now realizing the conversion of units to 'g' we have to

$a = (14.315m/s^2 )\frac{1g}{9.8m/s^2}$

$a = 1.46g$