The goal of this problem set is for you to better understand how reminder, these are the equations: U = Uo + at AT = vot + }at2 (7)2 = (50)2+2041 AT = =(10 + 5)t Throughout this problem set, you will have to use one of the equations to solve each problem. Problems: 1. A lunar rover created by a student, with an MPU-9250 chip, is put to the test on Earth. It starts from rest and over the course of 2.5s, the MPU-9250 registers an average acceleration of .124. What is the final speed of the rover? 2. A space whale cruises by at 10m. Although, upon seeing a space pirate ship, it increases its speed to 20m over 2.5s. What is the space whale's acceleration during this period of time? 3. While in the middle of a flight, a small piece of a rocket comes off and begins to plummet back down to Earth. As it falls, its acceleration is -9.81". It takes 120s for it to reach the ground and, when it was attached to the rocket, it was moving with a speed of 1, 0005. 1. How fast was it moving right before hitting the ground? 2. Are the signs of velocity and acceleration the same or different? 3. Is the piece of the rocket speeding up or slowing down? 4. SpaceX wants to utilize its Starship launch vehicle, which is currently being constructed, to send people to Mars. It will stand at a staggering height of 122m. If an aerodynamic ball is released from this height (assuming no air resistance), it will take 4.99s for the ball to reach the ground; right before the ball reaches the ground, its speed is 48.927. What was the acceleration of the ball as it fell? 5. The Saturn V rocket, which took us to the Moon, has three stages. 1. Its first stage, S-IC, burned for 2.5 minutes and accelerated the rocket to a speed of 2.76km. What was the average acceleration of Saturn V during this time? 2. After the first stage has finished burning, it separates from the rocket and the second stage, S-II, begins to burn. It burns for 6 minutes and propels the rocket to a speed of 6.995mmm. What was the average acceleration of Saturn V during this time? 3. The last stage, S-IVB, burns for 2.5 minutes and is then cut off once its velocity reaches 7.791km. What was the average acceleration of Saturn V during this time? 4. The maximum amount of g's a human can safely handle is between 3 and 4. Are any of the stages unsafe for the astronauts onboard