You are on an airplane traveling 30° south of due west at 180 m/s with respect to the air. the air is moving with a speed 31 m/s with respect to the ground due north.
1) what is the speed of the plane with respect to the ground?
2) what is the heading of the plane with respect to the ground? (let 0° represent due north, 90° represents due east).
3) how far east will the plane travel in 1 hour?

If a rock is thrown upward on the planet mars with a velocity of 12 m/s, its height (in meters) after t seconds is given by h = 12t − 1.86t2. (a) find the velocity of the rock after two seconds. m/s (b) find the velocity of the rock when t = a. 12−3.72a m/s (c) when will the rock hit the surface? (round your answer to one decimal place.) t = s (d) with what velocity will the rock hit the surface? m/s

The scalar triple product computes the magnitude m of the moment of a force vector f about a specified line. it is m = (r × f) · n, where r is the position vector from the line to the point of application of the force and n is a unit vector in the direction of the line. use matlab to compute the magnitude m for the case where f = [12, −5, 4] n, r = [−3, 5, 2] m, and n = [6, 5, −7].

Does the asteroid belt revolve around the sun?