C) 11 of 13 > Part A decide the best solution is to attach a rocket to the aster

Question

C) 11 of 13 > Part A decide the best solution is to attach a rocket to the asteroid and fire it to change the trajectory of the asteroid. If the rocket is fired for 8 min, the scientists calculate that the new speed for the asteroid will be 24 km/s and its new trajectory will be at an angle of 27 to its original path. In the process described above, what is the acceleration of the asteroid? Express your answers using two significant figures separated by a comma. Assume that the motion of the asterold. The final motion of the asteroid has components in the z and positive y directlons only a,, av = m/s Provide Feedback

Explanation / Answer

Given that,

vi = 14 i km/s

t = 8 min

vf = (24*cos27) i + (24*sin27) j

vf = (21.38 i + 10.89 j)*10^3 m/s

Acceleration, a = (vf - vi) / t

a =  (21.38 i + 10.89 j - 14i)*10^3 / 8*60

a = (15.37 i + 22.68 j) m/s^2

(ax , ay) = (15.37 i , 22.68 j) m/s^2

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