1.In a historical movie, two knights on horseback start from rest 88.0 m apart and ride directly toward each other to do battle. Sir George’s acceleration has a magnitude of 0.300 m/s2, while Sir Alfred’s has magnitude of 0.200 m/s2. Relative to Sir George’s starting point, where do the knights collide?

2.An alien wants to determine the acceleration due to gravity on his home planet. The alien throws an object straight up with a velocity of+20.0 m/s and it takes 25.0 s for the object to return to his alien hand. What is the acceleration (magnitude and direction) due to gravity on this planet? The alien’s home  planet has a very thin atmosphere so we can ignore an effects due to air resistance.

3.A cyclist rides due north along a straight road. She rides for 22 minutes at an average speed of 7.2 m/during the first part of her trip. Then, she rides for 36 minutes at an average speed of 5.1 m/s. During the final leg of her trip, she rides for 8.0 minutes at an average speed of 13 m/s.(a)What is the total distance the bicyclist has traveled during the entire trip?(b)What is her average velocity (magnitude and direction) for the entire trip?

4.One afternoon, a couple walks one-quarter of the way around a circular lake, the radius of which is1.50 km. They start at the south side of the lake and end up on the west side of the lake.(a)What is the total distance that they travel?(b)What are the magnitude and direction of the couple’s displacement?