Part A You\'re heading an international effort to save Earth from an asteroid he

Question

Part A You're heading an international effort to save Earth from an asteroid heading toward us at 15 km/s. Your team mounts a rocket on the asteroid and fires it for 10 min, after which the asteroid is moving at 21 km/s at 33° to its original path. Assume that the positive axis is in the direction of the initial motion of asteroid and y axis is perpendicular to it. In a news conference, wha do you report for the acceleration imparted to the asteroid? Express your answers using two significant figures separated by a comma. a,, ay . m/s2 Submit My Answers Give Up

Explanation / Answer

  initial velocity Vi = 15 km/s i
final velocity Vf = 21*cos33 i + 21*sin33 j km/s

acceleration = (Vf - Vi) / t = (21*cos33 i + 21*sin33 j - 11 i)* 10^3 / 10 * 60

= {(17.61 - 11)i + 11.43 j}*10^3 /600
=(6.61 i + 11.43 j)*10/6

= (11.01 i + 19.05 j )

ax   = 11 km/s2

ay   = 19 km/s2

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