1. Two objects are thrown from the same point into the opposite directions (both directed horizontally) as shown on the picture with initial velocities V1=3 m/s and V2=4 m/s. Find distance l between the objects at the moment when they have mutually perpendicular velocities.

Question

1.	Two objects are thrown from the same point into the opposite directions (both directed horizontally) as shown on the picture with initial velocities V1=3 m/s and V2=4 m/s. Find distance l between the objects at the moment when they have mutually perpendicular velocities.

anonymous · Answer

attached is the pic of the system

anonymous · Answer

please help me someone!!!!

queelius · Answer

vector v1 = <9.8t, -3> vector v2 = <9.8t, 4> v1 is orthogonal to v2 when dotproduct(v1, v2) = 0. So,9.8^2t^2-12=0; 9.8^2t^2 = 12; t^2 = 12/9.8^2; t = sqrt(12/9.8^2) That gives you time t for when their vectors are orthogonal. Now, how do you solve the next part to determine distance at time t?

anonymous · Answer

@queelius: so the answer is $$10\sqrt{3} / 7$$ ? am I right?