Question

An intercontinental ballistic missile goes from rest to a speed of 6.50 km/s in 60.0 s. In multiples of g, what is its acceleration?

Answer 1

The acceleration is
`11.1g\ m/s^2`

Step-by-step explanation:

Given that,

Speed
`v= 6.50\ km/s=6.5*10^(-3)\ m/s`

Time t = 60.0 sec

We need to calculate the acceleration

Using formula off acceleration

`a = (\Delta v)/(t)`

`a=(v_(f)-v_(i))/(t)`

We know that,

Missile goes from rest

So, Initial velocity =0

Put the value into the formula

`a =(6.50*10^(3))/(60.0)`

`a=108.33\ m/s^2`

On right hand side multiplying and dividing by g = 9.8m/s²

`a=108.33*(g)/(g)`

Put the value of g

`a = (108.33)/(9.8)g\ m/s^2`

`a = 11.1g\ m/s^2`

Hence, The acceleration is
`11.1g\ m/s^2`