Calculate the y component of the displacement vector r, which has magnitude 11.4 metres and is at angle 37 degrees with respect to the positive x-axis. Use 2 digits precision in your answer. +y L. +X

If vectors  A = (4.5, -2.5) and B = (3, 6), what is C = 2A – B?

A treasure map directs you to start at a palm tree and walk due north for 15.0 m. You are then to turn 90∘ and walk 22.0 m; then turn 90∘ again and walk 5.00 m. Give the distance from the palm tree, and the direction relative to north, for each of the four possible locations of the treasure.

Please help with the solution to this problem using (km/s). I know we will use Hohmann Transfer and a combined plane change.    In the opening scene of the movie “Gravity” Dr Ryan Stone (Sandra Bullock) and Matt Kowalsky (George Clooney) are required to transit from the Hubble Space Telescope (Altitude 600 km, 28.5 degree inclination) to the International Space Station (Altitude 400 km, 51.6 degree inclination) using nothing but their Manned Maneuvering Units (MMU). An MMU has a delta V capability of about 30 m/s, and it would be impossible to perform this maneuver with so little delta V, but… a.) How much delta V would be required for this maneuver? b.) What if the maneuver did not require an inclination change (altitude change only?)