The acceleration of a rocket traveling upward is given by a=(6+.02s)m/s^s, where s is in meters. determine the rocket's velocity when s=2km and the time needed to reach this altitude. initially, v=0 and s=0 when t=0

a) velocity v = 322.5m/s

b) time t = 19.27s

Explanation:

Note that;

ads = vdv

where

a is acceleration

s is distance

v is velocity

Given;

a = 6 + 0.02s

so,

Remember that

substituting s = 2km =2000m, into equation 1

v = 322.5m/s

substituting s = 2000m into equation 2

t = 19.27s

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