A space probe has two engines. Each generates the same amount of force when fired, and the directions of these forces can be independently adjusted. When the engines are fired simultaneously and each applies its force in the same direction, the probe, starting from rest, takes 52 s to travel a certain distance. How long does it take to travel the same distance, again starting from rest, if the engines are fired simultaneously and the forces that they apply to the probe are perpendicular?

2 answers

If the forces are perpendicular the net force is sqrt 2 times larger than a single rocket's force. The net force and acceleration will be 1/sqrt 2 times the values when the two rockets were aligned.

Ask yourself: if X = (1/2) a t^2 is the same and a is reduced by sqrt 2, what happens to t?
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