Question

Assume that an intercontinental ballistic missile goes from rest to a suborbital speed of 8.40 km/s in 62.0 s (the actual speed and time are classified). What is its average acceleration in m/s2 and in multiples of g (9.80 m/s2)

Answer 1

Answer:  $135.48\ m/s^2$ ,$13.82g$

Explanation:

Given

Missile velocity raises from 0 to $8.4\ km/s$

Time taken $t=62\ s$

Convert velocity into m/s

$\Rightarrow 8.4=8.4\times 1000=8400\ m/s$

Acceleration is the change of velocity w.r.t time

$\Rightarrow a=\dfrac{8400-0}{62}\\\\\Rightarrow a=135.48\ m/s^2$

In terms of gravity, it is

$\Rightarrow \dfrac{135.483}{9.8}=13.82$

Therefore, acceleration in terms of g is $13.82g$