# College Physics Problem 2.19

#### Assume that an intercontinental ballistic missile goes from rest to a suborbital speed of 6.50 km/s in 60.0 s (the actual speed and time are classified). What is its average acceleration in $m/s^{2}$ and in multiples of $g\:(9.80\:m/s^{2})$ ?

SOLUTION:

The formula for acceleration is

$a=\frac{v_f-v_0}{t}$

Substituting the given values

$a=\frac{6.5\times 10^3\:m/s-0\:m/s}{60.0\:s}$

$a=108.33\:m/s^2$

This can be expressed in multiples of g

$a=\frac{108.33\:m/s^2}{9.80\:m/s^2}$

$a=11.05g$

Therefore, the average acceleration is $108.33\:m/s^2$ and can be expressed as 11.05g.

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