You are in a hot-air balloon that, relative to the ground, has a veloc- ity of 6.0 m/s in a direction due east. you see a hawk moving directly away from the balloon in a direction due north. the speed of the hawk relative to you is 2.0 m/s. what are the magnitude and direction of the hawk’s velocity relative to the ground? express the directional angle rel- ative to due east.

You are given two vectors a⃗ =−3.00ι^ 5.00j^ and b⃗ =5.00ι^ 2.00j^. let the counterclockwise angles be positive.

Two conductors, a and b, are each in the shape of a tetrahedron. but of different sizes. they are charged in the following manner: 1. tetrahedron a is charged from an electrostatic generator to charge q. 2. tetrahedron a is briefly touched to tetrahedron b. 3. steps 1 and 2 are repeated until the charge on tetrahedron b reaches a maximum value. if the charge on tetrahedron b was q/4 after the first time it touched tetrahedron a. what is the final charge qbmax on tetrahedron b?

A4.0-cm tall light bulb is placed a distance of 32.0 cm from a concave mirror having a focal length of 16.0 cm. determine the image distance