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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