Item 1 11 of 13 Constants | Periodic Table Part A Help! An asteroid is heading t

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Item 1 11 of 13 Constants | Periodic Table Part A Help! An asteroid is heading towards us at 10 km/s. Scientists 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 32° 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 positive axis is in the direction of the initial motion of the asteroid. The final motion of the asteroid has components in the and positive y directions only. a, ay 73,45 m/s Submit Previous Answers Request Answer

Explanation / Answer

v0x = 10 km/s = 10000 m/s

v0y = 0

vfx = (24000)cos32 = 20353.15 m/s

vfy = 12718.06 m/s

vfx = v0x + a t

20353.15 = 10000 + a(8 x 60)

a_x = 22 m/s^2

vfy = v0y + ay t

12718.06 = 0 + (ay)(8 x 60)

ay = 26 m/s^2

Ans: 22 , 26

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