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`

Step-by-step 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* 1000=8400\ m/s`

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

`\Rightarrow a=(8400-0)/(62)\\\\\Rightarrow a=135.48\ m/s^2`

In terms of gravity, it is

`\Rightarrow (135.483)/(9.8)=13.82`

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