Amotor boat is headed at a velocity of 25 kilometers/hour toward the north, while the velocity of the water current is 12 kilometers/hour to the west. what is the magnitude of the boat’s resultant velocity?
a. 37.7 kilometers/hour
b. 13.5 kilometers/hour
c. 12.5 kilometers/hour
d. 25.0 kilometers/hour
e. 27.7 kilometers/hour

The position of a dragonfly that is flying parallel to the ground is given as a function of time by r⃗ =[2.90m+(0.0900m/s2)t2]i^− (0.0150m/s3)t3j^. a: at what value of t does the velocity vector of the insect make an angle of 34.0 degree clockwise from the x-axis? b: at the time calculated in part (a), what is the magnitude of the acceleration vector of the insect? c : at the time calculated in part (a), what is the direction of the acceleration vector of the insect?

Which articulations allow for greatest range of motion?

Asatellite component is in the shape of a cube with 10cm edges, has an evenly distributed mass of 2 kg and one bolt hole at each of four corners. if the maximum predicted random vibration environment is 10 grms, what bolt size would be a good choice for restraint? what other factors might drive bolt size besides force/stress?