1. Light is the fastest thing in the universe, moving at299,792,458m/s. For the fun of it, let’s assume a cannon shot a ball at the speed of light straight up. Let’s also assume that only the moon’s gravity could slow it down, and acted with the same downward acceleration no matter how far away the object was. The value of g on the moon is 1.6m/s2 [down].

   1. How long would it take for the ball to come to a stop? (pleaseanswer in days)

   2. How far would the ball have traveled in this time?

2. Taylor is swimming in a race with only one length (50m) to go. Bella is in first place. Bella is 15m closer to the finish line than Taylor.
   Taylor’s speed is 1m/s, and she begins to accelerate at 0.5m/s2 upto a top speed of 2m/s. Once she reaches top speed, she swims at a constant 2m/s for the rest of the race.
   Bella is swimming at a constant 1.2m/s.

   1. How far behind Bella is Taylor once she reaches her top speed of2m/s?

   2. Will Taylor pass Bella before the race is over? By how much time did Taylor win/lose?

   3. How many meters separated first and second place?