Two players alternately roll an n - sided die. the player who fails to improve upon the previous roll loses. what is the probability that the first player wins?

(i wanna see how sharp the community is, good luck)

Imagine you are riding on a yacht in the ocean and traveling at 20 mph. you then hit a golf ball at 100 mph from the deck of the yacht. you see the ball move away from you at 100mph, while a person standing on a near by beach would observe your golf ball traveling at 120 mph (20 mph + 100 mph). now imagine you are aboard the hermes spacecraft traveling at 0.1c (1/10 the speed of light) past mars and shine a laser from the front of the ship. you would see the light traveling at c (the speed of light) away from your ship. according to einstein’s special relativity, how fast will a person on mars observe the light to be traveling? a) 0.1c (1/10 the speed of light) b) c (the speed of light) c)1.1c (c+0.1c)

An object moves from position +34m to the position -15m in 15 seconds. what is the total displacement? what is the total velocity?

What object a collides with object b and bounces back its final momentum is?