A person travels by car from one city to another with different constant speeds between pairs of cities. She drives for 30.0 min at 70.0 km/h, 8.0 min at 65.0 km/h, and 45.0 min at 30.0 km/h and spends 20.0 min eating lunch and buying gas. (a) Determine the average speed for the trip. km/h (b) Determine the distance between the initial and final cities along the route km

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

The triangle drawn in question 2 (with v and Δv) is similar to the triangle drawn in question 3 (with r and the straight line distance traveled by the object) because they have the same apex angle. Use the relationship of similar triangles to write an equation that connects the sides and the bases of the two triangles.

The Cartesian coordinates of a point in the xy plane are (−3.3, −3.8). Find the polar coordinates of the point (the radius and theta in degrres counterclockwise from the x axis.)

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?)

Vector v = <-4,4>. Draw the vector 1.5v and give its component form and its magnitude and dire

Which of the following statements are correct? Adding two vectors creates a new "resultant" vector. When adding parallel vectors, the resultant vector is the sum of the magnitudes of the original vectors. When adding perpendicular vectors, the resultant vector is the sum of the magnitudes of the original vectors. Graphing calculators always report angles in degrees. Vectors pointing in different direction cannot be subtracted. A vector can be broken into x and y component vectors that sum to equal the original vector. Multiplying a vector by a scalar changes the vector's magnitude and direction.

Can you answer problem 2? Can you also provide a short explanation for the answer you chose?

Solve #3

Give a vector parametric equation for the line through the point (5, 3,0) that is parallel to the line (-3 – 4t, 5t – 2, 5 – 4t): L(t) = (Enter your answer as )