i You\'re heading an international effort to save Earth from an asteroid heading

Question

i You're heading an international effort to save Earth from an asteroid heading toward us at 14 km/s . Your team mounts a rocket on the asteroid and fires it for 10 min, after which the asteroid is moving at 23 km/s at 33 to its original path.

Assume that the positive x axis is in the direction of the initial motion of asteroid and y axis is perpendicular to it. In a news conference, what do you report for the acceleration imparted to the asteroid?

i got ax is 0.0088 and ay 0.021. It shows wrong.

Explanation / Answer

the accleration of the asteroid is

a = vf - vi/t

= (23 km/s cos 33 i + 23 km/s sin 33 j )- 14 km/s/ 10 min ( 60 s/ min)

   =8.815 m/s^2 i + 20.87 m/s^2 j

   ax = 8.815 m/s^2

   ay =20.87 m/s^2 j

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