On its takeoff roll, the airplane starts from rest and accelerates according to a = a0 − kv2 , where a0 is the constant acceleration resulting from the engine thrust and −kv2 is the acceleration due to aerodynamic drag. If a0 = 2 m/s2 , k = 0.00004 m−1, and v is in meters per second, determine the design length of runway required for the airplane to reach the takeoff speed of 250 km /h if the drag term is (a) excluded and (b) included.

Two thin 80.0- cm rods are oriented at right angles to each other. each rod has one end at the origin of the coordinates, and one of them extends along the x- axis while the other extends along the yaxis. the rod along the x- axis carries a charge of - 15.0 μ c distributed uniformly along its length, and the other rod carries 15.0 μ c uniformly over its length. find the magnitude and direction of the net electrical force that these two rods exert on an electron located at the point (40.0 cm, 40.0 cm). (e

Two rigid transformations are used to map δhjk to δlmn. the first is a translation of vertex h to vertex l. what is the second transformation? a reflection across the line containing hk a rotation about point h a reflection across the line containing hj a rotation about point k

Considering only the earth's rotation, determine how much later the asteroid would have had to arrive to put the explosion above helsinki at longitude 25˚ e? this would have obliterated the city.