Question

How much time is needed for a rocket accelerating at 30 m/s^2 to reach a velocity of 1.2 km/s​

Answer 1

Answer: the rocket takes 40 seconds to reach 1200 m/s

Explanation: use the cinematic equations for velocity

(vf = vi + at)

`1200(m)/(s) = 0(m)/(s)+30(m)/(s^(2) ) *t`

`t=(12000(m)/(s) )/(30(m)/(s^(2) ) )`

t= 40 seconds

Answer 2

t = 40 s

Step-by-step explanation:

Depending the current speed, assuming it is 0 m/s you have:

`v_(f)=v_(i)+at \\\\v_(f) = final\ speed \\v_(i) = initial\ speed \\a = acceleration \\t = time`

1.2 km/s = 1200 m/s

`1200 = 0 + 30t \\(1200)/(30) = t \\t = 40 s`