You\'re heading an international effort to save Earth from an asteroid heading t

Question

You're heading an international effort to save Earth from an asteroid heading toward us at 15.0 km/s. Your team mounts a rocket on the asteroid and fires it for exactly 10 min, after which the asteroid is moving at 24.0 km/s at 26 degree 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? Express your answers using three significant figures separated by a comma. a_x, a_y = m/s^2

Explanation / Answer

Initial velocity = 15 km/s along x

Final vrlocity:

Along x, Vx = 24 cos(26) km/s = 21.57 km/s

Along y, Vy = 24 sin(26) km/s = 10.52 km/s

Time required = 10 min = 600 s

Acceleration:

Along x, ax = (21.57-15)/600 = 10.95 m/ss

Along y, ay = (10.52 - 0)/600 = 17.53 m/s2

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