Fast transfer assuming earth and mars are starting with an angle of separation (a) of 41.24°, calculate the following for a 150 day fast transfer to mars (assume the voo vector is aligned with the earth velocity vector-earth is the periapsis of the transfer orbit): (a) the final position of mars (a ) in its orbit (at interception) relative to earth's initial position (at launch) (degrees) (b) the semimajor axis (a) and eccentricity (e) for the transfer orbit. (c) the launch vehicle c3 required to launch into the transfer orbit (km²/s? ) (d) the spacecraft delta-v magnitude required to enter martian orbit (km/s)

Thomas his older brothers, who own a junk yard, on the weekends to earn extra money. he likes to them push broken-down cars to the back of the junk yard because it makes him feel strong. last saturday, they pushed three cars with different weights, and he noticed he used different amounts of force for each one. the cars were the following weights: white car: 2,700 kg red car: 1,500 kg blue car: 2,100 kg think about how much force is needed to move each car. which correctly lists the cars in order from the most to least amount of force needed to move them? a) white, blue, red b) blue, red, white c) red, white, blue d) white, red, blue

World class speed skaters can skate a 3,000-m course in about 4 minutes. what is their average speed for this course? a. 12.5 m/sb. 1.33 m/sc. 1.25 m/sd. 13.3 m/s

Agroup of students were investigating the force of gravity. they began by dropping a foam ball from a height of 3 meters into a bucket of sand. the ball hit the sand in 0.306 seconds. they dropped additional balls of approximately the same diameter, but of different masses. here is the data they collected. based on this experiment and the collected data, what would their conclusion be?