# Changing the course of an asteroid

## Homework Statement

Hello all,

I am really having trouble with following. I want to find the answer myself, but i do not know what equation/s i should apply to solve the problem.

My Question.

How long will it take to deflect an asteroid on a collision course with Earth by attaching a 2000N thruster. I must change the course of the asteroid by 12 Earth diameters. Mass of the Asteroid is 1.3x10^2 kg

minger
You have a distance that needs to be traveled. You have mass and force, so you have acceleration. How would you relate acceleration, distance and time?

You have a distance that needs to be traveled. You have mass and force, so you have acceleration. How would you relate acceleration, distance and time?

Presumably I rearrange F=ma to find the acceleration

F = 2000 N
m = mass of asteroid? 1.3x10^12

Since the asteroid has an initial velocity of (20,000 m/s) i suppose i should use the following equation (rearranged to find time):

d=Vi*t+0.5*a*t^2

Where
Vi = initial velocity (20,000 m/s)
a = acceleration (found in the first part)
t = time
d = distance (known)

minger