Question

Assume that an MX missile goes from rest to a suborbital velocity of 4.50 km/s in 90.0 s (the actual speed and time are classified). What is its average acceleration in m/s^2. What is its average acceleration in multiples of g?

Answer 1

Explanation:

Given that,

Initial speed of the missile u = 0

Final speed of the missile, v = 4.5 km/s = 4500 m/s

Time taken by the missile, t = 90 s

Let a is the acceleration of the sports car.  It can be calculated using first equation of motion as :

$v=u+at$

$v=at$

$a=\dfrac{v}{t}$

$a=\dfrac{4500\ m/s}{90\ s}$

$a=50\ m/s^2$

Value of g, $g=9.8\ m/s^2$

$a=\dfrac{50}{9.8}\ m/s^2$

$a=(5.10)\ g\ m/s^2$

So, the acceleration of the missile is $(5.10)\ g\ m/s^2$. Hence, this is required solution.